Combining Texts

All the ideas for 'Defending the Axioms', 'Logic (Port-Royal Art of Thinking)' and 'The Science of Knowing (Wissenschaftslehre) [1st ed]'

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26 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
22024 Fichte's subjectivity struggles to then give any account of objectivity [Pinkard on Fichte]
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 / E. Structures of Logic / 2. Logical Connectives / c. not
22017 Normativity needs the possibility of negation, in affirmation and denial [Fichte, by Pinkard]
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 / 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 / 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 / C. Structure of Existence / 7. Abstract/Concrete / b. Levels of abstraction
10502 We can rise by degrees through abstraction, with higher levels representing more things [Arnauld,A/Nicole,P]
10. Modality / C. Sources of Modality / 4. Necessity from Concepts
22018 Necessary truths derive from basic assertion and negation [Fichte, by Pinkard]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
22064 Fichte's logic is much too narrow, and doesn't deduce ethics, art, society or life [Schlegel,F on Fichte]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
22032 Fichte's key claim was that the subjective-objective distinction must itself be subjective [Fichte, by Pinkard]
12. Knowledge Sources / B. Perception / 3. Representation
18258 We can only know the exterior world via our ideas [Arnauld,A/Nicole,P]
14. Science / D. Explanation / 2. Types of Explanation / k. Explanations by essence
16784 Forms make things distinct and explain the properties, by pure form, or arrangement of parts [Arnauld,A/Nicole,P]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / a. Other minds
22020 We only see ourselves as self-conscious and rational in relation to other rationalities [Fichte]
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
10499 We know by abstraction because we only understand composite things a part at a time [Arnauld,A/Nicole,P]
15. Nature of Minds / C. Capacities of Minds / 5. Generalisation by mind
10501 A triangle diagram is about all triangles, if some features are ignored [Arnauld,A/Nicole,P]
15. Nature of Minds / C. Capacities of Minds / 6. Idealisation
10500 No one denies that a line has width, but we can just attend to its length [Arnauld,A/Nicole,P]
16. Persons / B. Nature of the Self / 4. Presupposition of Self
22060 The Self is the spontaneity, self-relatedness and unity needed for knowledge [Fichte, by Siep]
22066 Novalis sought a much wider concept of the ego than Fichte's proposal [Novalis on Fichte]
22016 The self is not a 'thing', but what emerges from an assertion of normativity [Fichte, by Pinkard]
16. Persons / B. Nature of the Self / 6. Self as Higher Awareness
22019 Consciousness of an object always entails awareness of the self [Fichte]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
22061 Judgement is distinguishing concepts, and seeing their relations [Fichte, by Siep]
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
22023 Fichte's idea of spontaneity implied that nothing counts unless we give it status [Fichte, by Pinkard]
26. Natural Theory / A. Speculations on Nature / 1. Nature
22065 Fichte reduces nature to a lifeless immobility [Schlegel,F on Fichte]