Combining Texts

All the ideas for 'Summa quaestionum super Sententias', 'Ordinatio' and 'The Theory of Logical Types'

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10 ideas

5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
21566 'Propositional functions' are ambiguous until the variable is given a value [Russell]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
21567 'All judgements made by Epimenedes are true' needs the judgements to be of the same type [Russell]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
23457 Type theory cannot identify features across levels (because such predicates break the rules) [Morris,M on Russell]
21556 Classes are defined by propositional functions, and functions are typed, with an axiom of reducibility [Russell, by Lackey]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
21568 A one-variable function is only 'predicative' if it is one order above its arguments [Russell]
8. Modes of Existence / A. Relations / 1. Nature of Relations
16659 Relations do not add anything to reality, though they are real aspects of the world [Olivi]
8. Modes of Existence / E. Nominalism / 1. Nominalism / b. Nominalism about universals
9103 A universal is not a real feature of objects, but only a thought-object in the mind [William of Ockham]
9. Objects / C. Structure of Objects / 4. Quantity of an Object
16673 Quantity just adds union and location to the extension of parts [Olivi]
18. Thought / E. Abstraction / 2. Abstracta by Selection
9104 A universal is the result of abstraction, which is only a kind of mental picturing [William of Ockham]
27. Natural Reality / G. Biology / 5. Species
16663 Things are limited by the species to certain modes of being [Olivi]