Combining Texts

Ideas for 'Material Beings', 'The Establishment of Scientific Semantics' and 'No Understanding without Explanation'

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9 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 / D. Assumptions for Logic / 2. Excluded Middle

17587

The 'Law' of Excluded Middle needs all propositions to be definitely true or definitely false [Inwagen]

5. Theory of Logic / E. Structures of Logic / 4. Variables in Logic

17558

Variables are just like pronouns; syntactic explanations get muddled over dummy letters [Inwagen]

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]

5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / b. The Heap paradox ('Sorites')

17583

There are no heaps [Inwagen]