Combining Texts

All the ideas for 'Prior Analytics', 'Existentialism and Humanism' and 'Mathematics without Numbers'

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34 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 / B. Foundations for Mathematics / 7. Mathematical Structuralism / c. Nominalist structuralism
8698 Modal structuralism says mathematics studies possible structures, which may or may not be actualised [Hellman, by Friend]
9557 Statements of pure mathematics are elliptical for a sort of modal conditional [Hellman, by Chihara]
10263 Modal structuralism can only judge possibility by 'possible' models [Shapiro on Hellman]
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]
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]
16. Persons / A. Concept of a Person / 4. Persons as Agents
3847 Man is nothing else but the sum of his actions [Sartre]
16. Persons / F. Free Will / 1. Nature of Free Will
3846 Man IS freedom [Sartre]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
3843 There is no human nature [Sartre]
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
20762 There are no values to justify us, and no excuses [Sartre]
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
3852 If values depend on us, freedom is the foundation of all values [Sartre]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
20764 In becoming what we want to be we create what we think man ought to be [Sartre]
23. Ethics / C. Virtue Theory / 3. Virtues / d. Courage
3848 Cowards are responsible for their cowardice [Sartre]
23. Ethics / D. Deontological Ethics / 3. Universalisability
20763 When my personal freedom becomes involved, I must want freedom for everyone else [Sartre]
23. Ethics / F. Existentialism / 1. Existentialism
22229 Existentialists says that cowards and heroes make themselves [Sartre]
23. Ethics / F. Existentialism / 5. Existence-Essence
3842 Existence before essence (or begin with the subjective) [Sartre]
6868 'Existence precedes essence' means we have no pre-existing self, but create it through existence [Sartre, by Le Poidevin]
23. Ethics / F. Existentialism / 6. Authentic Self
3844 Existentialism says man is whatever he makes of himself [Sartre]
20754 It is dishonest to offer passions as an excuse [Sartre]
23. Ethics / F. Existentialism / 7. Existential Action
6571 When a man must choose between his mother and the Resistance, no theory can help [Sartre, by Fogelin]
3851 If I do not choose, that is still a choice [Sartre]
28. God / A. Divine Nature / 6. Divine Morality / d. God decrees morality
3845 Without God there is no intelligibility or value [Sartre]