Combining Texts

All the ideas for 'fragments/reports', 'The Concept of Logical Consequence' and 'On the Source of Necessity'

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9 ideas

4. Formal Logic / D. Modal Logic ML / 3. Modal Logic Systems / g. System S4
S4 says there must be some necessary truths (the actual ones, of which there is at least one) [Cameron]
5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Split out the logical vocabulary, make an assignment to the rest. It's logical if premises and conclusion match [Tarski, by Rumfitt]
5. Theory of Logic / B. Logical Consequence / 4. Semantic Consequence |=
X follows from sentences K iff every model of K also models X [Tarski]
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
A 'model' is a sequence of objects which satisfies a complete set of sentential functions [Tarski]
10. Modality / C. Sources of Modality / 1. Sources of Necessity
Blackburn fails to show that the necessary cannot be grounded in the contingent [Cameron]
19. Language / E. Analyticity / 1. Analytic Propositions
Sentences are 'analytical' if every sequence of objects models them [Tarski]
26. Natural Theory / A. Speculations on Nature / 5. Infinite in Nature
Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius]
27. Natural Reality / D. Time / 1. Nature of Time / f. Eternalism
The 'moving spotlight' theory makes one time privileged, while all times are on a par ontologically [Cameron]
27. Natural Reality / G. Biology / 3. Evolution
Archelaus said life began in a primeval slime [Archelaus, by Schofield]