Combining Texts

All the ideas for 'works', 'On the Principles of Indiscernibles' and 'Formal and Material Consequence'

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9 ideas

5. Theory of Logic / A. Overview of Logic / 4. Pure Logic

14187

If logic is topic-neutral that means it delves into all subjects, rather than having a pure subject matter [Read]

5. Theory of Logic / B. Logical Consequence / 1. Logical Consequence

14188

Not all arguments are valid because of form; validity is just true premises and false conclusion being impossible [Read]

14182

If the logic of 'taller of' rests just on meaning, then logic may be the study of merely formal consequence [Read]

14183

Maybe arguments are only valid when suppressed premises are all stated - but why? [Read]

5. Theory of Logic / B. Logical Consequence / 5. Modus Ponens

14184

In modus ponens the 'if-then' premise contributes nothing if the conclusion follows anyway [Read]

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives

14186

Logical connectives contain no information, but just record combination relations between facts [Read]

6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry

13007

Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]

10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals

14185

Conditionals are just a shorthand for some proof, leaving out the details [Read]

28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof

2116	The concept of an existing thing must contain more than the concept of a non-existing thing [Leibniz]