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'works', 'Introduction to Mathematical Logic' and 'Thought'
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12 ideas
5. Theory of Logic / A. Overview of Logic / 1. Overview of Logic
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Any two states are logically linked, by being entailed by their conjunction [Harman]
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To determine the patterns in logic, one must identify its 'building blocks' [Walicki]
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5. Theory of Logic / A. Overview of Logic / 6. Classical Logic
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Deductive logic is the only logic there is [Harman]
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5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens
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You don't have to accept the conclusion of a valid argument [Harman]
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5. Theory of Logic / E. Structures of Logic / 1. Logical Form
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Our underlying predicates represent words in the language, not universal concepts [Harman]
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Logical form is the part of a sentence structure which involves logical elements [Harman]
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3081
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A theory of truth in a language must involve a theory of logical form [Harman]
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For Aristotle, the subject-predicate structure of Greek reflected a substance-accident structure of reality [Aristotle, by O'Grady]
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5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
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A 'model' of a theory specifies interpreting a language in a domain to make all theorems true [Walicki]
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5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
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The L-S Theorem says no theory (even of reals) says more than a natural number theory [Walicki]
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5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
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A compact axiomatisation makes it possible to understand a field as a whole [Walicki]
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Axiomatic systems are purely syntactic, and do not presuppose any interpretation [Walicki]
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