Combining Philosophers

Ideas for Aristotle, Heraclitus and Marcus Rossberg

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4 ideas

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence
Something holds universally when it is proved of an arbitrary and primitive case [Aristotle]
5. Theory of Logic / B. Logical Consequence / 2. Types of Consequence
Logical consequence is intuitively semantic, and captured by model theory [Rossberg]
5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
Deduction is when we suppose one thing, and another necessarily follows [Aristotle]
Γ |- S says S can be deduced from Γ; Γ |= S says a good model for Γ makes S true [Rossberg]