Combining Philosophers

Ideas for Melvin Fitting, Frances A. Yates and Keith Devlin

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7 ideas

4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic

8081	'No councillors are bankers' and 'All bankers are athletes' implies 'Some athletes are not councillors' [Devlin]

4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic

8085	Modern propositional inference replaces Aristotle's 19 syllogisms with modus ponens [Devlin]

4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL

8086	Predicate logic retains the axioms of propositional logic [Devlin]

4. Formal Logic / E. Nonclassical Logics / 8. Intensional Logic

15375

If terms change their designations in different states, they are functions from states to objects [Fitting]

15376

Intensional logic adds a second type of quantification, over intensional objects, or individual concepts [Fitting]

4. Formal Logic / E. Nonclassical Logics / 9. Awareness Logic

15378

Awareness logic adds the restriction of an awareness function to epistemic logic [Fitting]

4. Formal Logic / E. Nonclassical Logics / 10. Justification Logics

15379

Justication logics make explicit the reasons for mathematical truth in proofs [Fitting]