Combining Texts

All the ideas for 'Dissoi Logoi - on Double Arguments', 'The Science of Knowing (Wissenschaftslehre) [1st ed]' and 'Thinking About Mathematics'

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37 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
Fichte's subjectivity struggles to then give any account of objectivity [Pinkard on Fichte]
3. Truth / H. Deflationary Truth / 2. Deflationary Truth
True and false statements can use exactly the same words [Anon (Diss)]
5. Theory of Logic / D. Assumptions for Logic / 2. Excluded Middle
Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro]
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
Normativity needs the possibility of negation, in affirmation and denial [Fichte, by Pinkard]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / b. Types of number
The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / h. Reals from Cauchy
Cauchy gave a formal definition of a converging sequence. [Shapiro]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
Categories are the best foundation for mathematics [Shapiro]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / f. Zermelo numbers
Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro]
6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / a. Structuralism
Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro]
A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro]
Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro]
Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism
Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / c. Conceptualism
Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
'Impredicative' definitions refer to the thing being described [Shapiro]
10. Modality / C. Sources of Modality / 4. Necessity from Concepts
Necessary truths derive from basic assertion and negation [Fichte, by Pinkard]
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
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
Fichte's key claim was that the subjective-objective distinction must itself be subjective [Fichte, by Pinkard]
12. Knowledge Sources / C. Rationalism / 1. Rationalism
Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro]
13. Knowledge Criteria / E. Relativism / 4. Cultural relativism
Anything can be acceptable in some circumstances and unacceptable in others [Anon (Diss)]
Lydians prostitute their daughters to raise a dowery, but no Greek would marry such a girl [Anon (Diss)]
Thracians think tattooing adds to a girl's beauty, but elsewhere it is a punishment [Anon (Diss)]
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / a. Other minds
We only see ourselves as self-conscious and rational in relation to other rationalities [Fichte]
16. Persons / B. Nature of the Self / 4. Presupposition of Self
The Self is the spontaneity, self-relatedness and unity needed for knowledge [Fichte, by Siep]
Novalis sought a much wider concept of the ego than Fichte's proposal [Novalis on Fichte]
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
Consciousness of an object always entails awareness of the self [Fichte]
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
Judgement is distinguishing concepts, and seeing their relations [Fichte, by Siep]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
How could someone who knows everything fail to act correctly? [Anon (Diss)]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / j. Ethics by convention
Every apparent crime can be right in certain circumstances [Anon (Diss), by PG]
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
Fichte's idea of spontaneity implied that nothing counts unless we give it status [Fichte, by Pinkard]
22. Metaethics / C. The Good / 1. Goodness / g. Consequentialism
It is right to lie to someone, to get them to take medicine they are reluctant to take [Anon (Diss)]
24. Political Theory / D. Ideologies / 5. Democracy / b. Consultation
The first priority in elections is to vote for people who support democracy [Anon (Diss)]
25. Social Practice / E. Policies / 5. Education / c. Teaching
We learn language, and we don't know who teaches us it [Anon (Diss)]
26. Natural Theory / A. Speculations on Nature / 1. Nature
Fichte reduces nature to a lifeless immobility [Schlegel,F on Fichte]