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Blogs about: Truth Theory

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Classical vs paracomplete routes to a solution of the liar paradox

jnne wrote 3 months ago: Any theorist who seeks to understand the truth predicate must find an answer to the liar paradox. As … more →

Tags: Classical Logic, Law of Excluded Middle

Why we're better of with`true', despite redundancy theories

jnne wrote 3 months ago: In the preceding section I have made a case for the particular usefulness of the word `true’. … more →

Tags: deflationary truth, deflationism, frege, Quine, redundancy theory

How `true' allows us to express infinite conjunctions

jnne wrote 3 months ago: In this post, I’d like to show how the short word `true’ allows speakers of English can … more →

Tags: expressibility, infinite conjunction, truth predicate

Kripke's picture of learning `true'

jnne wrote 4 months ago: I presume that ordinary reasoning with the natural language truth predicate is not affected by the p … more →

Tags: kripke, liar, Paradox, Truth, truth predicate

Why arithmetic with truth needs Gödelisation

jnne wrote 5 months ago: Be L a standard first order language of arithmetic. Be L(T) its extension by a truth predicate `Tr … more →

Tags: Truth, Robinson arithmetic, arithmetization, Gödel

Law of Excluded Middle: Proof in Tarski's propositional calculus.

jnne wrote 5 months ago: Recently, I’ve remarked about the axiomatic system Tarski uses for his object theory and which … more →

Tags: axiomatic calculus, Proof, inference rule, Tarski, Principia Mathematica, Law of Excluded Middle

How classical logic constrains semantics

jnne wrote 5 months ago: I would like to draw a sketchy distinction between a narrow and a broader sense of `logic’. In … more →

Tags: Semantics, Classical Logic

Classical Logic with `v' and `¬' as Primitives6 comments

jnne wrote 5 months ago: One central subject of my current paper will be the differences between classical and non-classical … more →

Tags: axiomatic calculus, conditional, Propositional Logic, disjunction, Negation, Classical Logic

Constraints on my Base Theory

jnne wrote 5 months ago: As a truth predicate is meant to extend a given language, its definition or axiomatization (here, th … more →

Tags: axiom schema, Robinson arithmetic, induction, Peano arithmetic, base theory

Robinson Arithmetic as Base Theory

jnne wrote 5 months ago: Currently I’m writing a longer paper on truth theory, comparing Field’s recent proposal … more →

Tags: Robinson arithmetic, induction, first order, Peano arithmetic, base theory

Why the base theory must be an axiomatic theory

jnne wrote 5 months ago: In my paper, a theory is considered to be a set of sentences closed under a certain inference. Becau … more →

Tags: axiomatic calculus, inference rule

Help, I'm stuck! (Reading Field 2008: §15.2, first part)

jnne wrote 6 months ago: In the preceding section (with oxford scholarship), Field has outlined a generalisation of Łukasiewi … more →

Tags: lattice, conditional, determinate, continuum valued logic

Reading Field 2008: §15.11 comment

jnne wrote 6 months ago: The first two parts of Hartry Field’s new book on truth and paradox are very much expository, … more →

Tags: lattice, conditional, conservativeness

Reading Feferman 1991: §2 axiomatic theories of truth and reflection1 comment

jnne wrote 6 months ago: In §2, Feferman turns to construe the truth theories which are required to specify the notion of ref … more →

Tags: axiom schema, diagonalisation, KF, reflection principle, conservativeness, Hierarchy

Back to Truth, ahead for Feferman

jnne wrote 6 months ago: The last days I was quite busy with application stuff. Null philosophical results, naturally. At lea … more →

Tags: Funding

Reading Feferman 1991: Introduction2 comments

jnne wrote 6 months ago: Feferman’s paper starts from the use of reflection principles. They would allow, notwithstandi … more →

Tags: Philosophy of Mathematics

Preservation of classical truth independent of bivalence and compositionality6 comments

jnne wrote 6 months ago: In his 2004 book (footnotes 3 and 4 of the first chapter), Maudlin sketches an algebraic argument th … more →

Tags: lattice, Truth, validity, Compositionality

Two versions of Curry's paradox1 comment

jnne wrote 6 months ago: Named after the logician Haskell Curry, the Curry-Paradox makes up a crucial problem for truth theor … more →

Tags: Paradox, conditional

The Nature of the Truth

Smeer wrote 6 months ago: Today I was sitting in my anatomy demonstration lecture with Dr. Akhtar, but instead of listening to … more →

Tags: Life, universe, Truth, Mankind, human perception, Human Knowledge, logic, Reasoning, extent of human reason


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