Combining Philosophers

All the ideas for Archimedes, Friedrich Schelling and Alex Orenstein

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26 ideas

4. Formal Logic / B. Propositional Logic PL / 1. Propositional Logic
8472 Sentential logic is consistent (no contradictions) and complete (entirely provable) [Orenstein]
4. Formal Logic / B. Propositional Logic PL / 2. Tools of Propositional Logic / e. Axioms of PL
8476 Axiomatization simply picks from among the true sentences a few to play a special role [Orenstein]
4. Formal Logic / D. Modal Logic ML / 4. Alethic Modal Logic
8480 S4: 'poss that poss that p' implies 'poss that p'; S5: 'poss that nec that p' implies 'nec that p' [Orenstein]
4. Formal Logic / F. Set Theory ST / 1. Set Theory
8474 Unlike elementary logic, set theory is not complete [Orenstein]
4. Formal Logic / G. Formal Mereology / 1. Mereology
8465 Mereology has been exploited by some nominalists to achieve the effects of set theory [Orenstein]
5. Theory of Logic / G. Quantification / 1. Quantification
8452 Traditionally, universal sentences had existential import, but were later treated as conditional claims [Orenstein]
5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
8475 The substitution view of quantification says a sentence is true when there is a substitution instance [Orenstein]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
8454 The whole numbers are 'natural'; 'rational' numbers include fractions; the 'reals' include root-2 etc. [Orenstein]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
13007 Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
8473 The logicists held that is-a-member-of is a logical constant, making set theory part of logic [Orenstein]
7. Existence / A. Nature of Existence / 3. Being / c. Becoming
22076 Being is only perceptible to itself as becoming [Schelling]
7. Existence / E. Categories / 3. Proposed Categories
8458 Just individuals in Nominalism; add sets for Extensionalism; add properties, concepts etc for Intensionalism [Orenstein]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
22072 Schelling always affirmed the absolute status of freedom [Schelling, by Courtine]
21925 For Schelling the Absolute spirit manifests as nature in which self-consciousness evolves [Schelling, by Lewis,PB]
22045 Metaphysics aims at the Absolute, which goes beyond subjective and objective viewpoints [Schelling, by Pinkard]
22074 We must show that the whole of nature, because it is effective, is grounded in freedom [Schelling]
14. Science / B. Scientific Theories / 1. Scientific Theory
8457 The Principle of Conservatism says we should violate the minimum number of background beliefs [Orenstein]
16. Persons / B. Nature of the Self / 4. Presupposition of Self
22073 The basis of philosophy is the Self prior to experience, where it is the essence of freedom [Schelling]
16. Persons / F. Free Will / 2. Sources of Free Will
22075 Only idealism has given us the genuine concept of freedom [Schelling]
19. Language / A. Nature of Meaning / 10. Denial of Meanings
8477 People presume meanings exist because they confuse meaning and reference [Orenstein]
19. Language / C. Assigning Meanings / 3. Predicates
8471 Three ways for 'Socrates is human' to be true are nominalist, platonist, or Montague's way [Orenstein]
19. Language / D. Propositions / 4. Mental Propositions
8484 If two people believe the same proposition, this implies the existence of propositions [Orenstein]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / g. Will to power
20956 Ultimately, all being is willing. The nature of primal being is the same as the nature of willing [Schelling]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
20957 We don't choose our characters, yet we still claim credit for the actions our characters perform [Schelling]
26. Natural Theory / A. Speculations on Nature / 1. Nature
22057 Schelling sought a union between the productivities of nature and of the mind [Schelling, by Bowie]
22031 Schelling made organisms central to nature, because mere mechanism could never produce them [Schelling, by Pinkard]