Combining Philosophers

Ideas for David Fair, E.J. Lowe and Augustus De Morgan

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6 ideas

5. Theory of Logic / E. Structures of Logic / 6. Relations in Logic
De Morgan started the study of relations and their properties [De Morgan, by Walicki]
De Morgan found inferences involving relations, which eluded Aristotle's syllogistic [De Morgan, by Hart,WD]
5. Theory of Logic / G. Quantification / 2. Domain of Quantification
De Morgan introduced a 'universe of discourse', to replace Boole's universe of 'all things' [De Morgan, by Walicki]
5. Theory of Logic / G. Quantification / 3. Objectual Quantification
It is better if the existential quantifier refers to 'something', rather than a 'thing' which needs individuation [Lowe]
5. Theory of Logic / I. Semantics of Logic / 1. Semantics of Logic
Syntactical methods of proof need only structure, where semantic methods (truth-tables) need truth [Lowe]
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
An infinite series of tasks can't be completed because it has no last member [Lowe]