Combining Texts

All the ideas for 'Idealism: a critical survey', 'Prior Analytics' and 'Philosophy of Arithmetic'

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24 ideas

4. Formal Logic / A. Syllogistic Logic / 1. Aristotelian Logic
22271 Aristotle was the first to use schematic letters in logic [Aristotle, by Potter]
11060 Aristotelian syllogisms are three-part, subject-predicate, existentially committed, with laws of thought [Aristotle, by Hanna]
18909 Aristotelian sentences are made up by one of four 'formative' connectors [Aristotle, by Engelbretsen]
8080 Aristotelian identified 256 possible syllogisms, saying that 19 are valid [Aristotle, by Devlin]
13912 Aristotle replaced Plato's noun-verb form with unions of pairs of terms by one of four 'copulae' [Aristotle, by Engelbretsen/Sayward]
8071 Aristotle listed nineteen valid syllogisms (though a few of them were wrong) [Aristotle, by Devlin]
4. Formal Logic / A. Syllogistic Logic / 2. Syllogistic Logic
13819 Aristotle's said some Fs are G or some Fs are not G, forgetting that there might be no Fs [Bostock on Aristotle]
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
9403 There are three different deductions for actual terms, necessary terms and possible terms [Aristotle]
5. Theory of Logic / B. Logical Consequence / 3. Deductive Consequence |-
11148 Deduction is when we suppose one thing, and another necessarily follows [Aristotle]
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
18896 Aristotle places terms at opposite ends, joined by a quantified copula [Aristotle, by Sommers]
5. Theory of Logic / E. Structures of Logic / 7. Predicates in Logic
3300 Aristotle's logic is based on the subject/predicate distinction, which leads him to substances and properties [Aristotle, by Benardete,JA]
5. Theory of Logic / G. Quantification / 1. Quantification
11149 Affirming/denying sentences are universal, particular, or indeterminate [Aristotle]
5. Theory of Logic / G. Quantification / 3. Objectual Quantification
8079 Aristotelian logic has two quantifiers of the subject ('all' and 'some') [Aristotle, by Devlin]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / l. Zero
9837 0 is not a number, as it answers 'how many?' negatively [Husserl, by Dummett]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
9576 Multiplicity in general is just one and one and one, etc. [Husserl]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
17444 Husserl said counting is more basic than Frege's one-one correspondence [Husserl, by Heck]
10. Modality / A. Necessity / 4. De re / De dicto modality
14641 A deduction is necessary if the major (but not the minor) premise is also necessary [Aristotle]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / b. Pro-coherentism
21513 We can no more expect a precise definition of coherence than we can of the moral ideal [Ewing]
13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / c. Coherentism critique
21497 If undetailed, 'coherence' is just a vague words that covers all possible arguments [Ewing]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
9575 Husserl identifies a positive mental act of unification, and a negative mental act for differences [Husserl, by Frege]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
18911 Linguistic terms form a hierarchy, with higher terms predicable of increasing numbers of things [Aristotle, by Engelbretsen]
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
21214 We clarify concepts (e.g. numbers) by determining their psychological origin [Husserl, by Velarde-Mayol]
18. Thought / E. Abstraction / 8. Abstractionism Critique
9819 Psychologism blunders in focusing on concept-formation instead of delineating the concepts [Dummett on Husserl]
9851 Husserl wanted to keep a shadowy remnant of abstracted objects, to correlate them [Dummett on Husserl]