By David DeVidi, Tim Kenyon

ISBN-10: 1402035330

ISBN-13: 9781402035333

The papers during this assortment are united through an method of philosophy. They illustrate the manifold contributions that common sense makes to philosophical growth, either through the appliance of formal the right way to conventional philosophical difficulties and via starting up new avenues of inquiry as philosophers deal with the results of latest and infrequently excellent technical effects. Contributions comprise new technical effects wealthy with philosophical importance for modern metaphysics, makes an attempt to diagnose the philosophical importance of a few fresh technical effects, philosophically stimulated proposals for brand spanking new techniques to negation, investigations within the background and philosophy of common sense, and contributions to epistemology and philosophy of technological know-how that make crucial use of logical concepts and effects. the place the paintings is formal, the causes are patently philosophical, now not in simple terms mathematical. the place the paintings is much less formal, it truly is deeply knowledgeable through the appropriate formal fabric. the quantity contains contributions from the most attention-grabbing philosophers now operating in philosophical common sense, philosophy of common sense, epistemology and metaphysics.

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Extra resources for A Logical Approach to Philosophy: Essays in Honour of Graham Solomon

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Proof. Assuming AC∗ 1 , take ϕ(x, y) ≡ α(y) in its antecedent. , Ex. Conversely, define α(y) ≡ ϕ(0, y). Then, assuming Ex, there is b for which ∃yα(y) → α(b), so ∀x ∈ 1∃yϕ(x, y) → ∀x ∈ 1ϕ(x, b). Defining f ∈ Fun(1) by f = { 0, b } gives ∀x ∈ 1∃yϕ(x, y) → ∀x ∈ 1ϕ(x, f x), and AC∗ 1 follows. 3 DAC∗ 1 and Un are equivalent over IST. Proof. 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.

There are, however, reasons to accept the inference in the present case. First, we might assume that Karl himself knows or can know (by introspection and reasoning) that knowledge is justified true belief. That is, we might assume K[KΦ ≡ Φ ∧ BΦ ∧ JΦ]. Then we can safely conclude that K(KΦ) ≡ K[Φ ∧ BΦ ∧ JΦ], via the above reasoning. Externalism, Anti-Realism, and the KK-Thesis 27 The inference in question may be good even if Karl does not know that knowledge is justified, true belief. The naive internalism in question is not a mere statement that KΦ is materially equivalent to Φ∧BΦ∧JΦ.

Externalism, Anti-Realism, and the KK-Thesis 35 In any case, we can get most of the way with a weaker inference. Suppose the above formula holds. To repeat: (Karl knows Φ) if and only if (Φ ∧ BΦ ∧ Ci (Φ) ∧ Ce (Φ)). Assume the KK-thesis. Let w be a world in which Karl knows Φ. , by introspection and reasoning alone) in which Karl knows that he knows Φ. So, in w : Karl knows (KΦ ∧ B(KΦ) ∧ Ci (KΦ) ∧ Ce (KΦ)). Again, the internal and external conditions for KΦ need not be the same as those for Φ itself.

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A Logical Approach to Philosophy: Essays in Honour of Graham Solomon by David DeVidi, Tim Kenyon


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