Combining Texts

Ideas for 'Axiomatic Theories of Truth (2005 ver)', 'The Therapy of Desire' and 'The Establishment of Scientific Semantics'

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8 ideas

5. Theory of Logic / A. Overview of Logic / 6. Classical Logic

13337

A language: primitive terms, then definition rules, then sentences, then axioms, and finally inference rules [Tarski]

5. Theory of Logic / C. Ontology of Logic / 1. Ontology of Logic

15652

We can use truth instead of ontologically loaded second-order comprehension assumptions about properties [Halbach]

5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic

15651

Instead of saying x has a property, we can say a formula is true of x - as long as we have 'true' [Halbach]

5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic

13335

Semantics is the concepts of connections of language to reality, such as denotation, definition and truth [Tarski]

13336

A language containing its own semantics is inconsistent - but we can use a second language [Tarski]

5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction

13339

A sentence is satisfied when we can assert the sentence when the variables are assigned [Tarski]

13340

Satisfaction is the easiest semantical concept to define, and the others will reduce to it [Tarski]

5. Theory of Logic / K. Features of Logics / 2. Consistency

13341

Using the definition of truth, we can prove theories consistent within sound logics [Tarski]