Combining Texts

All the ideas for 'Being and Nothingness', 'The Question of Ontology' and 'Defending the Axioms'

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27 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / j. Axiom of Choice IX
17610 The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
17620 Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy]
5. Theory of Logic / K. Features of Logics / 1. Axiomatisation
17605 Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy]
17625 If two mathematical themes coincide, that suggest a single deep truth [Maddy]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / g. Continuum Hypothesis
17615 Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / c. Fregean numbers
12215 The existence of numbers is not a matter of identities, but of constituents of the world [Fine,K]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
17618 Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
12211 It is plausible that x^2 = -1 had no solutions before complex numbers were 'introduced' [Fine,K]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
12209 The indispensability argument shows that nature is non-numerical, not the denial of numbers [Fine,K]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / c. Against mathematical empiricism
17614 The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy]
7. Existence / A. Nature of Existence / 1. Nature of Existence
12214 'Exists' is a predicate, not a quantifier; 'electrons exist' is like 'electrons spin' [Fine,K]
7. Existence / A. Nature of Existence / 3. Being / h. Dasein (being human)
22227 For Sartre there is only being for-itself, or being in-itself (which is beyond experience) [Sartre, by Daigle]
7. Existence / A. Nature of Existence / 4. Abstract Existence
12212 Just as we introduced complex numbers, so we introduced sums and temporal parts [Fine,K]
7. Existence / A. Nature of Existence / 6. Criterion for Existence
12216 Real objects are those which figure in the facts that constitute reality [Fine,K]
12218 Being real and being fundamental are separate; Thales's water might be real and divisible [Fine,K]
7. Existence / D. Theories of Reality / 1. Ontologies
12217 For ontology we need, not internal or external views, but a view from outside reality [Fine,K]
7. Existence / D. Theories of Reality / 11. Ontological Commitment / b. Commitment of quantifiers
12213 Ontological claims are often universal, and not a matter of existential quantification [Fine,K]
11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism
20743 Appearances do not hide the essence; appearances are the essence [Sartre]
15. Nature of Minds / B. Features of Minds / 1. Consciousness / b. Essence of consciousness
6151 Sartre says consciousness is just directedness towards external objects [Sartre, by Rowlands]
18. Thought / C. Content / 1. Content
6164 Sartre rejects mental content, and the idea that the mind has hidden inner features [Sartre, by Rowlands]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
7074 Man is a useless passion [Sartre]
6687 Man is the desire to be God [Sartre]
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
22228 Sartre's freedom is not for whimsical action, but taking responsibility for our own values [Sartre, by Daigle]
22. Metaethics / B. Value / 2. Values / g. Love
22233 Love is the demand to be loved [Sartre]
23. Ethics / F. Existentialism / 3. Angst
20755 Fear concerns the world, but 'anguish' comes from confronting my self [Sartre]
23. Ethics / F. Existentialism / 6. Authentic Self
20760 Sincerity is not authenticity, because it only commits to one particular identity [Sartre, by Aho]
22231 We flee from the anguish of freedom by seeing ourselves objectively, as determined [Sartre]