Download e-book for iPad: A Logical Approach to Philosophy: Essays in Honour of Graham by David DeVidi, Tim Kenyon

By David DeVidi, Tim Kenyon

ISBN-10: 1402035330

ISBN-13: 9781402035333

ISBN-10: 1402040547

ISBN-13: 9781402040542

The papers during this assortment are united by means of an method of philosophy. They illustrate the manifold contributions that common sense makes to philosophical development, either by way of the appliance of formal the right way to conventional philosophical difficulties and via starting up new avenues of inquiry as philosophers tackle the results of recent and infrequently incredible technical effects. Contributions comprise new technical effects wealthy with philosophical value for modern metaphysics, makes an attempt to diagnose the philosophical value of a few contemporary technical effects, philosophically influenced proposals for brand new methods to negation, investigations within the background and philosophy of good judgment, and contributions to epistemology and philosophy of technology that make crucial use of logical innovations and effects. the place the paintings is formal, the factors are patently philosophical, no longer simply mathematical. the place the paintings is much less formal, it's deeply knowledgeable by way of the suitable formal fabric. the amount contains contributions from essentially the most fascinating philosophers now operating in philosophical good judgment, philosophy of good judgment, epistemology and metaphysics.

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Additional info for A Logical Approach to Philosophy: Essays in Honour of Graham Solomon (The Western Ontario Series in Philosophy of Science)

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So the thesis is that, for any sentence Φ, if Φ is knowable, then it is knowable that Φ is knowable. In the jargon of possible worlds, the KK-thesis says that if there is an accessible world w in which Karl knows that Φ, then there is a world w accessible from w in which Karl knows that Karl knows that Φ. The accessibility relation here is transitive. Suppose that world w2 is accessible from w1 , and that w3 is accessible from 24 Stewart Shapiro w2 . By hypothesis, in w2 Karl has done some reasoning and introspection from what he knows in w1 , and in w3 he has done some reasoning and introspection from what he knows in w2 .

In particular, I will attempt to draw out the assumptions which lead Williamson to conclude that any such semantics depends on the existence of “luminous” states. Secondly, after briefly introducing the two versions of intuitionistic type theory, I will rehearse some of the key points of the first, the Propositions as Types version of constructivism. This will put us in a position to argue, against Williamson, that assertion theoretic semantics isn’t dependent on the existence of luminous states, or at least that the luminous states required are of a sort to which his argument fails to apply, and which he explicitly allows for.

Given α, define ϕ(x, y) ≡ α(y). Then, for f ∈ Fun(1), ∃x ∈ 1ϕ(x, f x) ↔ α(f 0) and ∃x ∈ 1∀yϕ(x, y) ↔ ∀yα(y). DAC∗ 1 then gives ∃f ∈ Fun(1)[α(f 0) → ∀yα(y)], from which Un follows easily. Conversely, given ϕ, define α(y) ≡ ϕ(0, y). Then from Un we infer that there exists b for which α(b) → ∀yα(y), 40 John L. e. ϕ(0, b) → ∀yϕ(0, y). Defining f ∈ Fun(1) by f = { 0, b } then gives ϕ(0, f 0) → ∃x ∈ 1∀yϕ(x, y), whence ∃x ∈ 1ϕ(x, f x) → ∃x ∈ 1∀yϕ(x, y), and Un follows. 4 DAC2 and Dis are equivalent over IST.

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A Logical Approach to Philosophy: Essays in Honour of Graham Solomon (The Western Ontario Series in Philosophy of Science) by David DeVidi, Tim Kenyon


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