Logic in general philosophy of science: old things and new things

This is a personal, incomplete, and very informal take on the role of logic in general philosophy of science, which is aimed at a broader audience. We defend and advertise the application of logical methods in philosophy of science, starting with the beginnings in the Vienna Circle and ending with some more recent logical developments.     

Logic,Logic, and Logic

In his recent paper in History and Philosophy of Logic, John Kearns argues for a solution of the Liar paradox using an illocutionary logic (Kearns 2007 Kearns, J. 2007. ‘An illocutionary logical explanation of the Liar Paradox’. History and Philosophy of Logic, 28: 31–66. [Taylor &; Francis Online], [Web of Science ®] , [Google Scholar]). Paraconsistent approaches, especially dialetheism, which accepts the Liar as being both true and false, are rejected by Kearns as making no ‘clear sense’ (p. 51). In this critical note, I want to highlight some shortcomings of Kearns' approach that concern a general difficulty for supposed solutions to (semantic) antinomies like the Liar. It is not controversial that there are languages which avoid the Liar. For example, the language which consists of the single sentence ‘Benedict XVI was born in Germany’ lacks the resources to talk about semantics at all and thus avoids the Liar. Similarly, more interesting languages such as the propositional calculus avoid the Liar by lacking the power to express semantic concepts or to quantify over propositions. Kearns also agrees with the dialetheist claim that natural languages are semantically closed (i.e. are able to talk about their sentences and the semantic concepts and distinctions they employ). Without semantic closure, the Liar would be no real problem for us (speakers of natural languages). But given the claim, the expressive power of natural languages may lead to the semantic antinomies. The dialetheist argues for his position by proposing a general hypothesis (cf. Bremer 2005 Bremer, M. 2005. An Introduction to Paraconsistent Logics, Bern: Lang.  [Google Scholar], pp. 27–28): ‘(Dilemma) A linguistic framework that solves some antinomies and is able to express its linguistic resources is confronted with strengthened versions of the antinomies’. Thus, the dialetheist claims that either some semantic concepts used in a supposed solution to a semantic antinomy are inexpressible in the framework used (and so, in view of the claim, violate the aim of being a model of natural language), or else old antinomies are exchanged for new ones. One horn of the dilemma is having inexpressible semantic properties. The other is having strengthened versions of the antinomies, once all semantic properties used are expressible. This dilemma applies, I claim, to Kearns' approach as well.     

Hume,Goodman and radical inductive skepticism

Goodman concurs in Hume’s contention that no theory has any probability relative to any set of data, and offers two accounts, compatible with that contention, of how some inductive inferences are nevertheless justified. The first, framed in terms of rules of inductive inference, is well known, significantly flawed, and enmeshed in Goodman’s unfortunate entrenchment theory and view of the mind as hypothesizing at random. The second, framed in terms of characteristics of inferred theories rather than rules of inference, is less well known, but provides a compelling view of inductive justification. Once the two accounts are clearly delineated, one can see that both are driven by a single deep conviction: that inductive justification can only be understood in terms of our actual inductive practice.     

Logic of imagination. Echoes of Cartesian epistemology in contemporary philosophy of mathematics and beyond

Descartes’ Rules for the direction of the mind presents us with a theory of knowledge in which imagination, considered as an “aid” for the intellect, plays a key role. This function of schematization, which strongly resembles key features of Proclus’ philosophy of mathematics, is in full accordance with Descartes’ mathematical practice in later works such as La Géométrie from 1637. Although due to its reliance on a form of geometric intuition, it may sound obsolete, I would like to show that this has strong echoes in contemporary philosophy of mathematics, in particular in the trend of the so called “philosophy of mathematical practice”. Indeed Ken Manders’ study on the Euclidean practice, along with Reviel Netz’s historical studies on ancient Greek Geometry, indicate that mathematical imagination can play a central role in mathematical knowledge as bearing specific forms of inference. Moreover, this role can be formalized into sound logical systems. One question of general epistemology is thus to understand this mysterious role of the imagination in reasoning and to assess its relevance for other mathematical practices. Drawing from Edwin Hutchins’ study of “material anchors” in human reasoning, I would like to show that Descartes’ epistemology of mathematics may prove to be a helpful resource in the analysis of mathematical knowledge.     

Religion,philosophy, and the Academy

International Journal for Philosophy of Religion -     

The significance of kierkegaard's interpretation of Don Giovanni in relation to Hegel's philosophy of art

Kant's Intuitionism: A Commentary on the Transcendental Aesthetic. Lorne Falkenstein. Toronto, University of Toronto Press, 1995. pp. xxiii + 465. £45–50. ISBN 0–8020–2973–6.     

Goodman and Putnam on the Making of Worlds

Hilary Putnam and Nelson Goodman are two of the twentieth century's most persuasive critics of metaphysical realism, however they disagree about the consequences of rejecting metaphysical realism. Goodman defended a view he called irrealism in which minds literally make worlds, and Putnam has sought to find a middle path between metaphysical realism and irrealism. I argue that Putnam's middle path turns out to be very elusive and defend a dichotomy between metaphysical realism and irrealism.     

Interpretation, psychoanalysis, and the philosophy of mind

I suggest that a conflict between two philosophical models of the mind so far unremarked in discussions of psychoanalysis is at the heart of questions about its status as a science, the objectivity of psychoanalytic interpretations, and the nature of the unconscious. In philosophy one model is embodied in the tradition of Descartes, Hobbes, Locke, Kant, among many others, which construes thought as prior to and independent of language. According to this tradition the mind is self-contained and mental contents or "ideas" are essentially subjective phenomena. It follows that knowledge of other minds and the material world is radically problematic. In the second and more contemporary model the phenomenon of meaning is dependent on interactions between minds, and between mind and the world. Since meaning is understood to be intrinsically social, so in an important sense is mind. I develop this second philosophic model, indicating its relevance for psychoanalysis. I also point out some of the contributions of psychoanalysis to philosophy of mind.