Our digital technologies have inspired new ways of thinking about old religious topics. Digitalists include computer scientists, transhumanists, singularitarians, and futurists. Digitalists have worked out novel and entirely naturalistic ways of thinking about bodies, minds, souls, universes, gods, and life after death. Your Digital Afterlives starts with three digitalist theories of life after death. It examines personality capture, body uploading, and promotion to higher levels of simulation. It then examines the idea that reality itself is ultimately a system of self-surpassing (...) computations. On that view, you will have infinitely many digital lives across infinitely many digital worlds. Your Digital Afterlives looks at superhuman bodies and infinite bodies. Thinking of nature in purely computational terms has the potential to radically and positively change our understanding of life after death. (shrink)

I follow standard mathematical practice and theory to argue that the natural numbers are the finite von Neumann ordinals. I present the reasons standardly given for identifying the natural numbers with the finite von Neumann's. I give a detailed mathematical demonstration that 0 is {} and for every natural number n, n is the set of all natural numbers less than n. Natural numbers are sets. They are the finite von Neumann ordinals.

As an atheist, Dawkins strives to develop a scientific alternative to theism, and while he declares that science is not a religion, he also proclaims it to be a spiritual enterprise. His books are filled with fragmentary sketches of this "spiritual atheism", resembling a great unfinished cathedral. This book systematizes and completes Dawkins' arguments, and reveals their deep roots in Stoicism and Platonism. Expanding on Dawkins' ideas, Steinhart shows how atheists can develop powerful ethical principles, compelling systems of symbols and (...) images, and meaningful personal and social practices. Believing in Dawkins is a rigorous and potent entreaty for the use of science and reason to support spiritually rich and optimistic ways of thinking and living. (shrink)

Teilhard is among the first to seriously explore the future of human evolution. He advocates both bio-technologies (e.g. genetic engineering) and intelligence technologies. He discusses the emergence of a global computation - communication system (and is said by some to have been the first to have envisioned the Internet). He advocates the development of a global society. He is almost surely the first to discuss the acceleration of technological progress to a Singularity in which human intelligence will become super-intelligence. He (...) discusses the spread of human intelligence into the universe and its amplification into a cosmic-intelligence. His work has been taken up by Barrow and Tipler; Tipler; Moravec; and Kurzweil. Of course, Teilhard's Omega Point Theory is deeply Christian. For secular transhumanists, this may be difficult. But transhumanism cannot avoid a fateful engagement with Christianity. Christian institutions may support or oppose transhumanism. Since Christianity is an extremely powerful cultural force in the West, it is imperative for transhumanism to engage it carefully. A serious study of Teilhard can help that engagement and will thus be rewarding to both communities. (shrink)

Nick Bostrom’s Simulation Argument (SA) has many intriguing theological implications. We work out some of them here. We show how the SA can be used to develop novel versions of the Cosmological and Design Arguments. We then develop some of the affinities between Bostrom's naturalistic theogony and more traditional theological topics. We look at the resurrection of the body and at theodicy. We conclude with some reflections on the relations between the SA and Neoplatonism (friendly) and between the SA and (...) theism (less friendly). (shrink)

_More Precisely_ provides a rigorous and engaging introduction to the mathematics necessary to do philosophy. It is impossible to fully understand much of the most important work in contemporary philosophy without a basic grasp of set theory, functions, probability, modality and infinity. Until now, this knowledge was difficult to acquire. Professors had to provide custom handouts to their classes, while students struggled through math texts searching for insight. _More Precisely_ fills this key gap. Eric Steinhart provides lucid explanations of the (...) basic mathematical concepts and sets out most commonly used notational conventions. Furthermore, he demonstrates how mathematics applies to many fundamental issues in branches of philosophy such as metaphysics, philosophy of language, epistemology, and ethics. (shrink)

A god is a cosmic designer-creator. Atheism says the number of gods is 0. But it is hard to defeat the minimal thesis that some possible universe is actualized by some possible god. Monotheists say the number of gods is 1. Yet no degree of perfection can be coherently assigned to any unique god. Lewis says the number of gods is at least the second beth number. Yet polytheists cannot defend an arbitrary plural number of gods. An alternative is that, (...) for every ordinal, there is a god whose perfection is proportional to it. The n -th god actualizes the best universe(s) in the n -th level of an axiological hierarchy of possible universes. Despite its unorthodoxy, ordinal polytheism has many metaphysically attractive features and merits more serious study. (shrink)

I use modal logic and transfinite set-theory to define metaphysical foundations for a general theory of computation. A possible universe is a certain kind of situation; a situation is a set of facts. An algorithm is a certain kind of inductively defined property. A machine is a series of situations that instantiates an algorithm in a certain way. There are finite as well as transfinite algorithms and machines of any degree of complexity (e.g., Turing and super-Turing machines and more). There (...) are physically and metaphysically possible machines. There is an iterative hierarchy of logically possible machines in the iterative hierarchy of sets. Some algorithms are such that machines that instantiate them are minds. So there is an iterative hierarchy of finitely and transfinitely complex minds. (shrink)

Ordinal polytheism is motivated by the cosmological and design arguments. It is also motivated by Leibnizian–Lewisian modal realism. Just as there are many universes, so there are many gods. Gods are necessary concrete grounds of universes. The god-universe relation is one-to-one. Ordinal polytheism argues for a hierarchy of ranks of ever more perfect gods, one rank for every ordinal number. Since there are no maximally perfect gods, ordinal polytheism avoids many of the familiar problems of monotheism. It links theology with (...) counterpart theory, mathematics and computer science. And it entails that the system of universes has an attractive axiological structure. (shrink)

The Logic of Metaphor uses techniques from possible worlds semantics to provide formal truth-conditions for many grammatical classes of metaphors. It gives logically precise and practically useful syntactic and semantic rules for generating and interpreting metaphors. These rules are implemented in a working computer program. The book treats the lexicon as a conceptual network with semantics provided by an intensional predicate calculus. It gives rules for finding analogies in such networks. It shows how to syntactically and semantically analyze texts containing (...) metaphors and how to use structural similarities between parts of possible worlds to provide truth-conditions for metaphors. Meanings for metaphors are linked to the modal logics of identity and indiscernibility. The book shows how to extend deductive and abductive inference systems to handle metaphors. It shows how to handle novel metaphorical word-senses. The Logic of Metaphor will be useful to philosophers, logicians, linguists, and computer scientists. (shrink)

After rejecting substance dualism, some naturalists embrace patternism. It states that persons are bodies and that bodies are material machines running abstract person programs. Following Aristotle, these person programs are souls. Patternists adopt four-dimensionalist theories of persistence: Bodies are 3D stages of 4D lives. Patternism permits at least six types of life after death. It permits quantum immortality, teleportation, salvation through advanced technology, promotion out of a simulated reality, computational monadology, and the revision theory of resurrection.

I discuss the view, increasingly common in physics, that the foundational level of our physical reality is a network of computing machines (so that our universe is ultimately like a cellular automaton). I discuss finitely extended and divided (discrete) space-time and discrete causality. I examine reasons for thinking that the foundational computational complexity of our universe is finite. I discuss the emergence of an ordered complexity hierarchy of levels of objects over the foundational level and I show how the special (...) sciences study these emergent objects. (shrink)

I argue that it is rational and appropriate for atheists to give thanks to deep impersonal agents for the benefits they give to us. These agents include our evolving biosphere, the sun, and our finely-tuned universe. Atheists can give thanks to evolution by sacrificially burning works of art. They can give thanks to the sun by performing rituals in solar calendars. They can give thanks to our finely-tuned universe, and to existence itself, by doing science and philosophy. But these linguistic (...) types of thanks-giving are forms of non-theistic contemplative prayer. Since these behaviors resemble ancient pagan behaviors, it is fair to call them pagan. Atheistic paganism may be part of an emerging ecosystem of naturalistic religions. (shrink)

Mathematics is obviously important in the sciences. And so it is likely to be equally important in any effort that aims to understand God in a scientifically significant way or that aims to clarify the relations between science and theology. The degree to which God has any perfection is absolutely infinite. We use contemporary mathematics to precisely define that absolute infinity. For any perfection, we use transfinite recursion to define an endlessly ascending series of degrees of that perfection. That series (...) rises to an absolutely infinite degree of that perfection. God has that absolutely infinite degree. We focus on the perfections of knowledge, power, and benevolence. Our model of divine infinity thus builds a bridge between mathematics and theology. (shrink)

Nietzsche has a surprisingly significant and strikingly positive assessment of mathematics. I discuss Nietzsche's theory of the origin of mathematical practice in the division of the continuum of force, his theory of numbers, his conception of the finite and the infinite, and the relations between Nietzschean mathematics and formalism and intuitionism. I talk about the relations between math, illusion, life, and the will to truth. I distinguish life and world affirming mathematical practice from its ascetic perversion. For Nietzsche, math is (...) an artistic and moral activity that has an essential role to play in the joyful wisdom. (shrink)

A powerful argument against the resurrection of the body is based on the premise that all resurrection theories violate natural laws. We counter this argument by developing a fully naturalistic resurrection theory. We refer to it as the revision theory of resurrection (the RTR). Since Hick’s replica theory is already highly naturalistic, we use Hick’s theory as the basis for the RTR. According to Hick, resurrection is the recreation of an earthly body in another universe. The recreation is a resurrection (...) counterpart. We show that the New Testament supports the idea of resurrection counterparts. The RTR asserts that you are a node in a branching tree of increasingly perfect resurrection counterparts. These ever better counterparts live in increasingly perfect resurrection universes. We give both theological arguments and an empirical argument for the RTR. (shrink)

Many religions and religious philosophies say that ultimate reality is a kind of primal energy. This energy is often described as a vital power animating living things, as a spiritual force directing the organization of matter, or as a divine creative power which generates all things. By refuting older conceptions of primal energy, modern science opens the door to new and more precise conceptions. Primal energy is referred to here as ‘spirit’. But spirit is a natural power. A naturalistic theory (...) of spirit is developed using ideas from information theory and thermodynamics, such as the maximum entropy production principle. Spirit drives the evolution of complexity at all levels of existence. (shrink)

This chapter has two goals. The first is to explain concepts associated with information and computation in physical terms. The other goal of this chapter is to analyze concepts in physics like space, time, and causality in information-theoretic and computational terms.

If the computational theory of mind is right, then minds are realized by machines. There is an ordered complexity hierarchy of machines. Some finite machines realize finitely complex minds; some Turing machines realize potentially infinitely complex minds. There are many logically possible machines whose powers exceed the Church–Turing limit (e.g. accelerating Turing machines). Some of these supermachines realize superminds. Superminds perform cognitive supertasks. Their thoughts are formed in infinitary languages. They perceive and manipulate the infinite detail of fractal objects. They (...) have infinitely complex bodies. Transfinite games anchor their social relations. (shrink)

The infrastructure is becoming a network of computerized machines regulated by societies of self-directing software agents. Complexity encourages the emergence of novel values in software agent societies. Interdependent human and software political orders cohabitate and coevolve in a symbiosis of freedoms.

There are two main ways to develop practices in religious naturalism. The first way is to practice within some traditional religion. Since those religions involve the worship of divine persons, which religious naturalists reject, religious naturalists must develop non-literal or fictional styles of participation in those religions. The second way is to develop new naturalistic religions. Since these will not be religions of worship, they will be religions of self-realization. Self-realization includes physiological, ethical, and spiritual self-realization. The goal of spiritual (...) self-realization is an ideal self whose concern includes all things and which is therefore existentially unified with nature. Techniques for self-realization include Stoic and Buddhist meditative practices, transformational festivals, and the use of entheogens. (shrink)

Theistic religions are not the only religions in the West. Many nontheistic religions are religions of energy. This energy is ultimate, optimizing, impersonal, and natural. Although it cannot be worshiped, this energy can be aroused, directed, and shaped. Hence the energy religions involve tools and techniques for the therapeutic application of the ultimate energy to the self. They are technologies of the self. Attention is focused here on four new types of energy religion. These include the religions of consciousness (e.g. (...) the New Stoicism, Westernized Buddhism); the religions of vision (involving the ethical use of entheogens); the religions of dance (e.g. religious raves); and the religions of beauty (e.g. Burning Man). (shrink)

I gather and constructively criticize Nietzsche’s writings on identity. Nietzsche treats identity as a logical fiction. He denies that there are any enduring things (no substances); he denies that there are any indiscernible things in any respect (no universals, no bare particulars). For Nietzsche, the world consists of durationless events bearing non-universal properties and standing to one another in non-universal relations. Events are bundles of tropes. Nietzsche even denies self-identity. His events are self-differing trope-bundles. I link Nietzsche’s denial of self-identity (...) with modern treatments of paradox. (shrink)

You can survive after death in various kinds of artifacts. You can survive in diaries, photographs, sound recordings, and movies. But these artifacts record only superficial features of yourself. We are already close to the construction of programs that partially and approximately replicate entire human lives (by storing their memories and duplicating their personalities). A digital ghost is an artificially intelligent program that knows all about your life. It is an animated auto-biography. It replicates your patterns of belief and desire. (...) You can survive after death in a digital ghost. We discuss a series of digital ghosts over the next 50 years. As time goes by and technology advances, they are progressively more perfect replicas of the lives of their original authors. (shrink)

Many recent writers have developed a rich system of theological concepts inspired by computers. This is digital theology. Digital theology shares many elements of its eschatology with Christian post-millenarianism. It promises a utopian perfection via technological progress. Modifying Christian soteriology, digital theology makes reference to four types of immortality. I look critically at each type. The first involves transferring our minds from our natural bodies to superior computerized bodies. The second and third types involve bringing into being a previously living (...) person, or person who has never existed, within an artificial digital environment. The fourth involves promotion of our lives into some higher level computational reality. (shrink)

Infinite machines (IMs) can do supertasks. A supertask is an infinite series of operations done in some finite time. Whether or not our universe contains any IMs, they are worthy of study as upper bounds on finite machines. We introduce IMs and describe some of their physical and psychological aspects. An accelerating Turing machine (an ATM) is a Turing machine that performs every next operation twice as fast. It can carry out infinitely many operations in finite time. Many ATMs can (...) be connected together to form networks of infinitely powerful agents. A network of ATMs can also be thought of as the control system for an infinitely complex robot. We describe a robot with a dense network of ATMs for its retinas, its brain, and its motor controllers. Such a robot can perform psychological supertasks - it can perceive infinitely detailed objects in all their detail; it can formulate infinite plans; it can make infinitely precise movements. An endless hierarchy of IMs might realize a deep notion of intelligent computing everywhere. (shrink)

Neoplatonism is alive and well today. It expresses itself in New Thought and the mind-cure movements derived from it. However, to avoid many ancient errors, Neoplatonism needs to be modernized. The One is just the simple origin from which all complex things evolve. The Good, which is not the One, is the best of all possible propositions. A cosmological argument is given for the One and an ontological argument for the Good. The presence of the Good in every thing is (...) Spirit. Spirit sits in the logical center of every body; it is surrounded by the regulatory forms of that body. Striving for the Good, Spirit seeks to correct the errors in its surrounding forms. To correct the errors in biological texts, modern Neoplatonists turn to the experimental method. This Neoplatonism is pantheistic not because of some theoretical definition of God but rather because of its practical focus on the shaping of Spirit. (shrink)

Religious naturalists say all divine or sacred things are natural. A unifying framework is presented for religious naturalism. Nature has five religiously significant levels of organization. These are nature as a whole, the universe, solar system, earth, and body. Each level involves power, cyclicality, complexity, and evolution. These levels take their religious contents from the Zygon group, the World Pantheist Movement, the New Atheists, the New Stoics, and the Burners. Religious naturalists have also taken ideas from the Wicca, the Green (...) Sisters, and the Evolutionary Christians. Rituals can be performed at each level. Linkages between all complex things and the cycles of nature entail a positive soteriology. No gods are involved in this religious naturalism. (shrink)

It has often been said that metaphors are based on analogies, but the nature of this relation has never been made precise. This article rigorously and formally specifies two semantic relations that do obtain between some metaphors and analogies. We argue that analogies often provide conditions of meaningfulness and truth for metaphors. An analogy is treated as an isomorphism from a source to topic domain. Metaphors are thought of as surface structures. Formal analogical conditions of meaningfulness and truth are fully (...) and rigorously worked out for several grammatical classes of metaphors. By providing analogical meaningfulness and truth conditions for metaphors, this article shows that truth-conditional semantics can be extended to metaphors. (shrink)

Metaphors have computable semantics. A program called NETMET both generates metaphors and produces partial literal interpretations of metaphors. NETMET is based on Kittay's semantic field theory of metaphor and Black's interaction theory of metaphor. Input to NETMET consists of a list of literal propositions. NETMET creates metaphors by finding topic and source semantic fields, producing an analogical map from source to topic, then generating utterances in which terms in the source are identified with or predicated of terms in the topic. (...) Given a metaphor, NETMET utilizes if-then rules to generate the implication complex of that metaphor. The literal leaves of the implication complex comprise a partial literal interpretation. (shrink)

Skeptical atheism is deeply concerned with the development of a true atheistic belief-system which competes with allegedly false theistic belief-systems. Spiritual atheists are concerned with building a successful atheistic culture to compete with an allegedly dysfunctional theistic culture. These atheisms are compared in terms of their epistemologies, metaphysics, axiologies, eschatologies, soteriologies, prosocial activities, and individual practices. Skeptical atheism is likely to remain a perpetually marginal community. Spiritual atheism may become a significant alternative to theism.

At the end of the 19th century, Josiah Royce participated in what has come to be called the great debate (Royce, 1897; Armour, 2005).1 The great debate concerned issues in metaphysical theology, and, since metaphysics was primarily idealistic, it dealt considerably with the relations between the divine Self and lesser selves. After the great debate, Royce developed his idealism in his Gifford Lectures (1898-1900). These were published as The World and the Individual. At the end of the first volume, Royce (...) added a Supplementary Essay. The Essay, continuing themes from the great debate, developed an intriguing mathematical model of the relations between the divine Self and lesser selves. The second volume went on to.. (shrink)

The structural theory of metaphor (STM) uses techniques from possible worlds semantics to generate and interpret metaphors. STM is presented in detail in The Logic of Metaphor: Analogous Parts of Possible Worlds (Steinhart, 2001). STM is based on Kittay’s semantic field theory of metaphor (1987) and ultimately on Black’s interactionist theory (1962, 1979). STM uses an intensional calculus to specify truth-conditions for many grammatical forms of metaphor. The truth-conditional analysis in STM is inspired in part by Miller (1979) and Hintikka (...) & Sandu (1994). STM is by no means a toy theory. It has been successfully tested on dozens of large texts taken from real authors. Its methods can be applied in very large linguistic databases like WordNet or MindNet. (shrink)

Structural idealism uses formal and computational techniques to describe an idealist ontology composed of God and a set of finite minds. A finite mind is a system of private intentional worlds. An intentional world is a connectionist hierarchy of intentional objects (propositions, concepts, sensible things, sensations). Intentional objects, similar to Leibnizian monads, are computing machines. To escape the egocentric predicament, Leibnizian relations of (in)compossibility exist between finite minds, linking them together into a constraint-satisfaction network, thereby coordinating their private intentional worlds.

The game of life is an excellent framework for metaphysical modeling. It can be used to study ontological categories like space, time, causality, persistence, substance, emergence, and supervenience. It is often said that there are many levels of existence in the game of life. Objects like the glider are said to exist on higher levels. Our goal here is to work out a precise formalization of the thesis that there are various levels of existence in the game of life. To (...) formalize this thesis, we develop a set-theoretic construction of the glider. The method of this construction generalizes to other patterns in the game of life. And it can be extended to more realistic physical systems. The result is a highly general method for the set-theoretical construction of substances. (shrink)

Thought about the singularity intersects the philosophy of mind in deep and important ways. However, thought about the singularity also intersects many other areas of philosophy, including the history of philosophy, metaphysics, the philosophy of science, and the philosophy of religion. I point to some of those intersections. Singularitarian thought suggests that many of the objects and processes that once lay in the domain of revealed religion now lie in the domain of pure computer science.

An Omega Point Theory says that reality is making progress from some initial state to some final state. It moves from some Alpha Point (the initial state) to some Omega Point (the final state). The progress is an increase in some quality. For example, reality is making progress from the chaotic to the orderly; or it is making progress from the simple to the complex; or from the mindless to the mental; or from evil to good. Here we focus on (...) the Omega Point theory of Peirce. An Omega Point Theory is an evolutionary cosmology – it says that the universe is evolving from the Alpha Point to the Omega Point. Peirce refers to his evolutionary cosmology as a Cosmogonic Philosophy would suppose that in the beginning – infinitely remote – there was a chaos of unpersonalized feeling, which being without connection or regularity would properly be without existence. This feeling, sporting here and there in pure arbitrariness, would have started the germ of a generalizing tendency. Its other sportings would be evanescent, but this would have a growing virtue. Thus the tendency to habit would be started; and from this, with the other principles of evolution, all the regularities of the universe would be evolved. At any time, however, an element of pure chance survives and will remain until the world becomes an absolutely perfect, rational, and symmetrical system, in which mind is at last crystallized in the infinitely distant future. (Peirce, Collected Papers , 6.33). (shrink)

Many writers advocate the development of new and more naturalistic religions.1 Perhaps these new religions will emerge from religious naturalism. Peters believes that religious naturalism “could lead to a new significant form of organized religion with a structured community, ritual practices, and ways of moral living.”2 However, at the present time, religious naturalism is not a nature-centered religion. The features mentioned by Peters are mainly missing.3 At the present time, the most significant effort to derive a nature-centered religion from religious (...) naturalism is found in Crosby. Over the course of several books, Crosby lays out his metaphysical theory of nature.4 He uses that theory to develop a... (shrink)

A model of analogical mapping is proposed that uses five principles to generate consistent and conflicting hypotheses regarding assignments of elements of a source domain to analogous elements of a target domain. The principles follow the fine conceptual structure of the domains. The principles are: (1) the principle of proportional analogy; (2) the principle of mereological analogy, (3) the principle of chain reinforcement; (4) the principle of transitive reinforcement; and (5) the principle of mutual inconsistency. A constraint-satisfaction network is used (...) to find the set of assignments that preserves the greatest relational structure of the source. In contrast to the model proposed here, most models of analogical mapping use only the principle of proportional analogy. The use of many principles is shown to be superior in that it permits smoother integration of pragmatic factors and results in a more efficient mapping process. (shrink)

Theurgy was a system of magical practices in the late Roman Empire. It was applied Neoplatonism. The theurgists aimed to enable human bodies to assume divine attributes, that is, to become deities. I aim to show that much of the structure of theurgical Neoplatonism appears in transhumanism. Theurgists and transhumanists share a core Platonic-Pythagorean metaphysics. They share goals and methods. The theurgists practiced astrology, the reading of entrails, the consultation of oracles, channeling deities, magic, and the animation of statues. The (...) transhumanist counterparts of those practices are genetics, self-tracking with biosensors, artificial intellects like Google and Siri, brain-computer interfaces, programming, and robotics. Transhumanist techno-theurgy shows how Neoplatonism can be a modern philosophical way of life. (shrink)

Ancient theories of life after death involve souls and gods. Reincarnation theories say an immortal soul travels from one mortal body to another. Lives are shaped by karmic laws, which may be retributive or progressive. Resurrection theories say that persons are bodies. After you die, God will revive your body, or reassemble it from its atoms, or recover it from information stored in the divine memory or your soul, or replicate it in another universe. Modern afterlife theories rely heavily on (...) ideas from computer science. Life after death involves simulation, promotion, uploading, digital ghosts, and recursive self-improvement. The many-worlds interpretation of quantum mechanics entails that some versions of your life never die. (shrink)

Pantheism claims: (1) there exists an all-inclusive unity; and (2) that unity is divine. I review three current and scientifically viable ontologies to see how pantheism can be developed in each. They are: (1) materialism; (2) Platonism; and (3) class-theoretic Pythagoreanism. I show how each ontology has an all-inclusive unity. I check the degree to which that unity is: eternal, infinite, complex, necessary, plentiful, self-representative, holy. I show how each ontology solves the problem of evil (its theodicy) and provides for (...) salvation (its soteriology). I conclude that Platonism and Pythagoreanism have the most divine all-inclusive unities. They support sophisticated contemporary pantheisms. (Published Online February 17 2004). (shrink)

One way to think logically about virtual reality systems is to think of them as interactive depictions of possible worlds. Leibniz's "Palace of the Fates" is probably the earliest description of an interactive virtual reality system. Leibniz describes a system for the simulation of possible worlds by a human user in the actual world. He describes a user-interface for interacting multiple possible worlds and their histories.

Digitalists base their thoughts about reality on concepts taken from the sciences of information and computation. For digitalists, these sciences are prior to the physical sciences. Digitalists emphatically reject substance metaphysics. They are neither materialists nor idealists nor dualists. They have their own novel definitions of bodies, minds, lives, and souls. They talk about digital universes running on digital gods, and they regard nature as a recursively self-improving system of computations. They endorse digitized theories of resurrection and reincarnation. But they (...) also argue for deeper and more mathematical approaches to life after death. All these digital ideas are naturalistic. They are consistent with our best sciences. (shrink)

This article deals with the concept of infinity in classical American philosophy. It focuses on the philosophical and technical developments of infinity in the 19th Century American thinkers Royce and Peirce.

_More Precisely_ is a rigorous and engaging introduction to the mathematics necessary to do philosophy. Eric Steinhart provides lucid explanations of many basic mathematical concepts and sets out the most commonly used notational conventions. He also demonstrates how mathematics applies to fundamental issues in various branches of philosophy, including metaphysics, philosophy of language, epistemology, and ethics. This second edition adds a substantial section on decision and game theory, as well as a chapter on information theory and the efficient coding of (...) information. (shrink)

The many kinds of naturalism fall into two main types. Dogmatic naturalists define naturalness using some rule. Progressive naturalists define naturalness in terms of a research program. This research program, illustrated by the sciences, progressively defines things ever more precisely using mathematics. Most traditional religious concepts fail to be natural on any type of naturalism. But progressive naturalists are open to naturalistic revisions of traditional concepts. They do not tie religion to the past, but welcome novel religious and spiritual naturalisms.