It is argued that geometrical intuition, as conceived in Kant, is still crucial to the epistemological foundations of mathematics. For this purpose, I have chosen to target one of the most sympathetic interpreters of Kant's philosophy of mathematics – Michael Friedman – because he has formulated the possible historical limitations of Kant's views most sharply. I claim that there are important insights in Kant's theory that have survived the developments of modern mathematics, and thus, that they are not so intrinsically (...) bound up with the logic and mathematics of Kant's time as Friedman will have it. These insights include the idea that mathematical knowledge relies on the manipulation of objects given in quasi-perceptual intuition, as Charles Parsons has argued, and that pure intuition is a source of knowledge of space itself that cannot be replaced by mere propositional knowledge. In particular, it is pointed out that it is the isomorphism between Kantian intuition and a spatial manifold that underlies both the epistemic intimacy of the most fundamental type of geometrical intuition as well as that of perceptual acquaintance. (shrink)

‘Information’ and ‘code’ originated as technical terms within linguistics and information theory but are now widely used in genetics and developmental biology. Against this background, it is examined if coded information distinguishes genes from other information carriers, i.e., whether there are genetic words or sentences by virtue of the genetic code, and, if so, whether they have any semantic content. It is concluded that there is no genetic language with semantic content, but that the genetic code still enables unique language-like (...) modes of transmission and interpretation of causal information. (shrink)

ABSTRACT I suggest how a broadly Kantian critique of classical logic might spring from reflections on constructibility conditions. According to Kant, mathematics is concerned with objects that are given through ‘arbitrary synthesis,’ in the form of ‘constructions of concepts’ in the medium of ‘pure intuition.’ Logic, by contrast, is narrowly constrained – it has no objects of its own and is fixed by the very forms of thought. That is why there is not much room for developments within logic, as (...) compared to the progress in mathematics. Kant’s view of logic remains critical, though – through considerations that are effectively on the scope and limits of classical logic and which play a part in his transcendental idealism. The most important ones are to be found in his critique of the use of reductio ad absurdum proofs in metaphysics and his solutions to the ‘antinomies of pure reason.’ Arguably, these considerations carry over to mathematics as well – by way of ‘analogues’ to the antinomies – in particular in resolving infinity paradoxes. (shrink)

Minimal genetic pre-formationism is defended, in that primacy is ascribed to DNA in the structuring of molecules through molecular codes. This together with the importance of such codes for stability and variation in living systems makes DNA categorically different from other causal factors. It is argued that post-transcriptional and post-translational processing in protein synthesis does not rob DNA of this structuring role. Notions of structuring causal powers that may vary in degree, of arbitrary molecular codes that are more or less (...) realized, of partial templating and of genetic information as a subspecies of mechanistic information are brought in to support this and to rival causal and semantic notions of information. It is concluded that the primacy of genes in their structuring of molecules goes together with parity between genes and non-genetic causal factors in regulation of living systems. This is seen to hold independently of the radical reconceptualization of organism cum environment that has been suggested in developmental systems theory. (shrink)

This collection examines the instrumental role of intersubjectivity in Husserl's philosophy and explores the potential for developing novel ways of addressing and resolving contemporary philosophical issues on that basis. This is the first time Iso Kern offers an extensive overview of this rich field of inquiry for an English-speaking audience. Guided by his overview, the remaining articles present new approaches to a range of topics and problems that go to the heart of its core theme of intersubjectivity and methodology. Specific (...) topics covered include intersubjectivity and empathy, intersubjectivity in meaning and communication, intersubjectivity pertaining to collective forms of intentionality and extended forms of embodiment, intersubjectivity as constitutive of normality, and, finally, the central role of intersubjectivity in the sciences. The authors' perspectives are strongly influenced by Husserl's own methodological concerns and problem awareness and are formed with a view to applicability in current debates - be it within general epistemology, analytic philosophy of language, philosophy of mind, meta-ethics or philosophy of science. With contributions written by leading Husserl scholars from across the Analytic and Continental traditions, Husserl's Phenomenology of Intersubjectivity is a clear and accessible resource for scholars and advanced students interested in Husserl's phenomenology and the relevance of intersubjectivity to philosophy, sociology, and psychology. (shrink)

Critical views of logic are presented. These are views that are critical of logic in a sense akin to the way in which Kant is critical rather than dogmatic about traditional metaphysics. Such approaches differ from the Fregean ‘logic-first’ view. In accordance with the latter, logic is often regarded as epistemologically and methodologically fundamental. Hence, all disciplines – including mathematics – are considered as answerable to logic, rather than vice versa. In critical views of logic, by contrast, the logical principles (...) that govern some subject matter may depend on the metaphysics of this subject matter or on the semantics of our discourse about it. Space is thereby carved out between a Fregean position on the one hand and thoroughgoing holism à la Quine on the other. (shrink)

This collection addresses metaphysical issues at the intersection between philosophy and science. A unique feature is the way in which it is guided both by history of philosophy, by interaction between philosophy and science, and by methodological awareness. In asking how metaphysics is possible in an age of science, the contributors draw on philosophical tools provided by three great thinkers who were fully conversant with and actively engaged with the sciences of their day: Kant, Husserl, and Frege. -/- Part I (...) sets out frameworks for scientifically informed metaphysics in accordance with the meta-metaphysics outlined by these three self-reflective philosophers. Part II explores the domain for co-existent metaphysics and science. Constraints on ambitious critical metaphysics are laid down in close consideration of logic, meta-theory, and specific conditions for science. Part III exemplifies the role of language and science in contemporary metaphysics. Quine’s pursuit of truth is analysed; Cantor’s absolute infinitude is reconstrued in modal terms; and sense is made of Weyl’s take on the relationship between mathematics and empirical aspects of physics. -/- With chapters by leading scholars, Metametaphysics and the Sciences is an in-depth resource for researchers and advanced students working within metaphysics, philosophy of science, and the history of philosophy. (shrink)

Can we have objective knowledge of the world? Can we understand what is morally right or wrong? Yes, to some extent. This is the answer given by Adam Smith and Edmund Husserl. Both rejected David Hume’s skeptical account of what we can hope to understand. But they held his empirical method in high regard, inquiring into the way we perceive and emotionally experience the world, into the nature and function of human empathy and sympathy and the role of the imagination (...) in processes of intersubjective understanding. The challenge is to overcome the natural constraints of perceptual and emotional experience and reach an agreement that is informed by the facts in the world and the nature of morality. This collection of philosophical essays addresses an audience of Smith- and Husserl scholars as well as everybody interested in theories of objective knowledge and proper morality which are informed by the way we perceive and think and communicate. (shrink)