Combining Texts

All the ideas for 'The Science of Knowing (Wissenschaftslehre) [1st ed]', 'On Note L to Bayle's 'Rorarius'' and 'Elements of Geometry'

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28 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
22024 Fichte's subjectivity struggles to then give any account of objectivity [Pinkard on Fichte]
2. Reason / E. Argument / 6. Conclusive Proof
8623 Proof reveals the interdependence of truths, as well as showing their certainty [Euclid, by Frege]
4. Formal Logic / C. Predicate Calculus PC / 2. Tools of Predicate Calculus / c. Derivations rules of PC
13907 If you pick an arbitrary triangle, things proved of it are true of all triangles [Euclid, by Lemmon]
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]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
6297 Euclid's geometry is synthetic, but Descartes produced an analytic version of it [Euclid, by Resnik]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
9603 An assumption that there is a largest prime leads to a contradiction [Euclid, by Brown,JR]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One
9894 A unit is that according to which each existing thing is said to be one [Euclid]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
8738 Postulate 2 says a line can be extended continuously [Euclid, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
22278 Euclid relied on obvious properties in diagrams, as well as on his axioms [Potter on Euclid]
8673 Euclid's parallel postulate defines unique non-intersecting parallel lines [Euclid, by Friend]
10250 Euclid needs a principle of continuity, saying some lines must intersect [Shapiro on Euclid]
10302 Euclid says we can 'join' two points, but Hilbert says the straight line 'exists' [Euclid, by Bernays]
14157 Modern geometries only accept various parts of the Euclid propositions [Russell on Euclid]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
1600 Euclid's common notions or axioms are what we must have if we are to learn anything at all [Euclid, by Roochnik]
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]
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 / B. Features of Minds / 2. Unconscious Mind
19355 The soul doesn't understand many of its own actions, if perceptions are confused and desires buried [Leibniz]
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]
17. Mind and Body / A. Mind-Body Dualism / 5. Parallelism
19350 We should say that body is mechanism and soul is immaterial, asserting their independence [Leibniz]
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]
26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
19356 Minds unconsciously count vibration beats in music, and enjoy it when they coincide [Leibniz]