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Blogs about: Philosophical Logic

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Truth as an operator and as a predicate3 comments

Andrew wrote 1 month ago: Suppose we add to the propositional calculus a new unary operator, T, whose truth table is just the … more →

Tags: Philosophy of Language, Semantics, Kleene logic, kripke, Liar paradox, Truth, weak kleene

Rigid Designation5 comments

Andrew wrote 1 month ago: Imagine the following set up. There are two tribes, A and B, who up until now have never met. It tur … more →

Tags: Philosophy of Language, Semantics, kripke, Naming and Necessity, Quantified modal logic, Rigid designation, rigid designator

Precisifications

Andrew wrote 3 months ago: I’ve been wondering just how much content there is to the claim that vagueness is truth on som … more →

Tags: Philosophy of Language

Truth Functionality6 comments

Andrew wrote 7 months ago: I’ve been thinking a lot about giving intended models to non-classical logics recently, and th … more →

Tags: Philosophy of Language, Connective, Lukasiewicz, Modality, Necessity, Propositional Logic, truth functionality, Vagueness

Field on Restall's Paradox6 comments

Andrew wrote 7 months ago: I’ve been casually reading Field’s “Saving Truth from Paradox” for some time … more →

Tags: Gödel, Gödel diagonalization, Hartry Field, Infinitary languages, Liar paradox, Negation, non classical logic, Restall, Truth

Cardinality and the intuitive notion of size1 comment

Andrew wrote 11 months ago: According to mathematicians two sets have the same size iff they can be put in one-one correspondenc … more →

Tags: Set Theory, bijection, Cantor, Cardinality, Cardinality quantifier, equinumerous, Gödel, Infinite sizes, Logical quantifier

The Sorites paradox and non-standard models of arithmetic7 comments

Andrew wrote 11 months ago: A standard Sorites paradox might run as follows: 1 is small. For every n, if n is small then n+1 is … more →

Tags: Philosophy of Language, Non-standard models of arithmetic, omega inconsistency, Sorites Paradox, Vagueness

Composition as identity, part II3 comments

Andrew wrote 12 months ago: Aside from Leibniz’s law, there are various other constraints identity must obey. For example, … more →

Tags: Mereology, metaphysics, Plural Logic, Basic Law V, Cantor's Theorem, Composition as Identity, counterpart theory, Gunk, Sider

Indeterminacy and knowledge12 comments

Andrew wrote 1 year ago: What do people think of this principle: determinate implication preserves indeterminacy? Formally1: … more →

Tags: Formal Epistemology, epistemicism, knowledge, Vagueness, Williamson

Is second order logic really first order?

Andrew wrote 1 year ago: Nowadays, I guess, a lot more people are sympathetic to the idea that second order logic is real log … more →

Tags: Plural Logic, McGee, Second order logic, permutation invariant, Infinitary logic, logical quantifiers, Philosophy of Logic

When do two objects touch?28 comments

Andrew wrote 1 year ago: I’ve been reading through Casati and Varzi’s “Parts and Places” recently. It … more →

Tags: metaphysics, connection, Mereology, Mereotopology, Casati, Varzi, path connected, Continuous

Is the axiom of choice a logical truth?3 comments

Andrew wrote 1 year ago: I actually think there are a bunch of related statements which we might think of as expressing choic … more →

Tags: Set Theory, Plural Logic, Timothy Williamson, Logical truth, Second order logic, The axiom of choice, model theory, Gabriel Uzquiano, Augustin Rayo

Which things occupy the set role?7 comments

Andrew wrote 1 year ago: Question: out of everything there is, which of those things are sets? A standard (platonist) answer … more →

Tags: Set Theory, Plural Logic, Inaccessible cardinals, indefinite extensibility, large cardinals, Philosophy of Maths, Second order logic, Structuralism, zfc

A question about modal logic

Andrew wrote 1 year ago: Say that a class of Kripke frames, , is compact just in case, for every set of propositional modal f … more →

Tags: modal logic, Kripke frame, compactness

Higher Order Vagueness and Sharp Boundaries4 comments

Andrew wrote 1 year ago: One of the driving intuitions that motivates the rejection of bivalence, in the context of vagueness … more →

Tags: Philosophy of Language, Boolean Algebra, Definitely operator, Higher Order Vagueness, Timothy Williamson, Vagueness

XKCD on Gödel...3 comments

Andrew wrote 1 year ago: They eventually resolved this self-reference, but Cantor's 'everything-in-the-fetish-book-tw … more →

Tags: Other, xkcd, Gödel, Russell, Whitehead

Counterexamples to Modus Ponens?10 comments

Andrew wrote 1 year ago: Moritz has a very interesting post on McGee’s counterexample to modus ponens. One thing that c … more →

Tags: Philosophy of Language, conditionals, Kratzer, McGee, modus ponens, restrictor, Stalnaker

The Paradox of Rational Believability6 comments

Andrew wrote 1 year ago: A while back I considered a weakening of Fitch’s paradox for knowability, to true belief inste … more →

Tags: Epistemology, Logic of rational belief, Fitch's paradox, KnowabI'llity paradox

Logic for Philosophy6 comments

Andrew wrote 1 year ago: I’ve just stumbled across this this very promising draft book from Ted Sider. I was reading th … more →

Tags: Other


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