Singularity Hypotheses: A Scientific and Philosophical Assessment offers authoritative, jargon-free essays and critical commentaries on accelerating technological progress and the notion of technological singularity. It focuses on conjectures about the intelligence explosion, transhumanism, and whole brain emulation. Recent years have seen a plethora of forecasts about the profound, disruptive impact that is likely to result from further progress in these areas. Many commentators however doubt the scientific rigor of these forecasts, rejecting them as speculative and unfounded. We therefore invited prominent (...) computer scientists, physicists, philosophers, biologists, economists and other thinkers to assess the singularity hypotheses. Their contributions go beyond speculation, providing deep insights into the main issues and a balanced picture of the debate. (shrink)

I go deep into the biology of the human organism to argue that the psychological features and functions of persons are realized by cellular and molecular parallel distributed processing networks dispersed throughout the whole body. Persons supervene on the computational processes of nervous, endocrine, immune, and genetic networks. Persons do not go with brains.

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 (e.g., recursiveness; well-ordering principles; continuity at transfinite limits; minimality; and identification of n with the set of all numbers less than n). 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. (shrink)

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)

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)

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)

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)

Generals always prepare for the last war.—Winston ChurchillYet in the 18th century, European thinkers noticed that social transformations had been accelerating for several thousand years; subsequent historical knowledge has made this observation more graphic and global. How long can the acceleration regime continue? In 1958, John von Neumann used the mathematical ‘singularity’ concept apropos of this subject, and the sonorous term was soon accepted in the humanities.The conceptual intrigue has become still more fascinating since a series of independent calculations demonstrated (...) that the acceleration period was not limited by human history and prehistory but embraced 4.5 billion years of biosphere evolution in tune with a simple logarithmic law. This is one of the epoch-making and surprising discoveries in the early 21st century. Continents have been drifting on Earth over billions of years, climate changing repeatedly, meteorites falling down and volcanoes blowing up—yet, the phase tra .. (shrink)

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)

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)

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)

In this article I discuss identity and indiscernibility for person‐stages and persons. Identity through time is not an identity relation (it is a unity relation). Identity is carefully distinguished from persistence. Identity is timeless and necessary. Person‐stages are carefully distinguished from persons. Theories of personal persistence are not theories of identity for persons. I deal not with the persistence of persons through time but with the timeless and necessary identity and indiscernibility of persons. I argue that it is possible that (...) there are non‐identical but indiscernible temporally whole persons. I discuss the biographies of persons and develop the type or token distinction for persons. Twins in symmetrical or eternally recurrent universes are examples of indiscernible persons. I discuss temporal and modal branching, and I end with survival for person‐tokens and eternity for person‐types. (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)

Atheistic Platonism is an alternative to both theism and nihilistic atheism. It shows how any jobs allegedly done by God are better done by impersonal Platonic objects. Without Platonic objects, atheism degenerates into an illogical nihilism. Atheistic Platonism instead provides reality with foundations that are eternal, necessary, rational, beautiful, and utterly mindless. It argues for a plenitude of mathematical objects, and an infinite plurality of possible universes. It provides mindless rational grounds for objective values, and for objective moral laws for (...) the persons who evolve in universes. It defines a meaningful way of life, which facilitates self-improvement. Atheistic Platonists argue for computational theories of life after death. Atheistic Platonism includes a rich system of spiritual symbols. It values transformational practices and ecstatic experiences. Where atheisms based on materialism fail, atheisms based on Platonism succeed. (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)

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.

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)

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)

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 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)

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)

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.

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)

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)

Standard models of adolescent risk taking posit that the cognitive abilities of adolescents and adults are equivalent, and that increases in risk taking that occur during adolescence are the result of socio emotional differences in impulsivity, sensation seeking, and lack of self-control. Fuzzy-trace theory incorporates these socio emotional differences. However, it predicts that there are also cognitive differences between adolescents and adults, specifically that there are developmental increases in gist-based intuition that reflects understanding. Gist understanding, as opposed to verbatim-based analysis, (...) generally has been hypothesized to have a protective effect on risk taking in adolescence. Gist understanding is also an essential element of informed consent regarding risks in medical decision- making. Evidence thus supports the argument that adolescents’ status as mature minors should be treated as an exception rather than a presumption, because accuracy in verbatim analysis is not mature gist understanding. Use of the exception should be accompanied by medical experts’ input on the bottom-line gist of risks involved in treatment. (shrink)

The five articles selected for this issue of Religious Studies Archives develop a non-theistic approach to religion and spirituality that can be called Platonic atheism. Platonic atheism emerges as these five articles are set into place and put into dialog with each other. One of the central figures of Platonic atheism is Iris Murdoch, whose work deserves to be revived and studied very carefully by contemporary philosophers of religion. Platonic atheism is an alternative to Christian theism. And while it may (...) be considered as a kind of naturalism, it differs from the scientism found in much contemporary atheism. Strands of Platonic atheism are interwoven into many articles in Religious Studies, from its beginning to the present. (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)

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.

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)

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)

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)

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)

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)

Animism has been defined in many ways. Tylor defines it as the “the theory which endows the phenomena of nature with personal life” (1866: 82). Bird-David lists several definitions of animism: “the attribution of life or divinity to such natural phenomena as trees, thunder, or celestial bodies”; “the belief that all life is produced by a spiritual force, or that all natural phenomena have souls”; the belief that “trees, mountains, rivers and other natural formations possess an animating power or spirit” (...) (1999: S67). Brown and Walker say animism is “an ontology in which objects and other non-human beings possess souls, life-force, and qualities of personhood” (2008: 297). Coeckelbergh says, “For animists, objects have (individual) spirits” (2010: 965). According to Helander-Renvall, animism means that “there are no clear borders between spirit and matter…. all beings in nature are considered to have souls or spirit” (2010: 44). Smith says animism involves “belief in nature spirits, such as mountain spirits, animal spirits, and weather spirits” (2019: 2–3). Definitions like these are easily multiplied. (shrink)

Aufgrund der antiken Beschreibungen des platäischen Weihgeschenkes — insbesondere von Pausanias, X 13,9 — und neuer formater Vergleiche wird die Weihung als etwa 7,60 m hoher Dreifuß mit der « Schlangensäule » als Mittelstütze rekonstruiert. Die aus dem apollinischen Zusammenhang nicht hinreichend zu erklärenden Schlangen werden als Hinweis auf den von den Heroen unterstützten und heroengleich verstandenen Abwehrkampf gegen das Heer des Xerxes gedeutet, wie er auch in den antiken Quellen verstanden wird. Bei der in phokischem Alphabet und Dialekt abgefaßten (...) Inschrift der « Schlangensäule » ist in den Anfangszeilen die Nennung der Perser anzunehmen. Die Anordnung der griechischen Symmachoi wird als Kombination der geographischen Vorstellung in den delphischen Theorodokenlisten und der Kontingentgrôfien innerhalb des griechischen Heeres erklärt. (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.

Philosophical concepts are easier to teach and to learn if students can directly manually and visually manipulate the objects instantiating them. What is needed is a philosophy laboratory in which students learn by experimenting. Games are highly idealized yet concrete structures able to instantiate abstract concepts. I show how to use the Game of Life (a computerized cellular automaton "game") to teach concepts like: individuation; supervenience; the phenomena / noumena distinction; the physical / design / and intentional stances; the argument (...) from design; and models for Leibnizian monads. Such formal games are good ways to use computers to teach philosophy. (shrink)

I use concepts from Foucault's analysis of the human condition to investigate how we recognize or fail to recognize ourselves in machines like computers. Human beings are traditionally defined as "rational animals" or as "thinking things". I examine how this self-conception determines our use of computing machines as logical mirrors in which we both hope and fear to see our truest selves. I examine two analogies: (1) how we think of computers as if they were human (self-projection) and (2) how (...) we think of humans as if they were computers (self-reflection). I interpret the humanization of computers and the computerization of humans as ways that thought tries to master its own freedom by thinking of itself metaphorically in terms of something else. (shrink)

The prelims comprise: Introduction Programs and Theories Finite Digital Physics Transfinite Digital Physics The Physics of Computation Conclusion.

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)

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)