Combining Texts

All the ideas for 'Cours d'Analyse', 'Letters to Bentley' and 'works'

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16 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / a. Philosophy as worldly
Philosophy attains its goal if one person feels perfect accord between their system and experience [Fichte]
     Full Idea: If even a single person is completely convinced of his philosophy; ...if his free judgement in philosophising, and what life obtrudes upon him, are perfectly in accord; then in this person philosophy has completed its circuit and attained its goal.
     From: Johann Fichte (works [1798], I:512), quoted by A.W. Moore - The Evolution of Modern Metaphysics 06.4
     A reaction: Interesting to hear a famous idealist offering accordance with real life as a criterion for philosophical success. But that is real life, but not as you and I may know it.... His criterion is very subjective. A bad philosopher might attain it?
2. Reason / A. Nature of Reason / 7. Status of Reason
For Fichte there is no God outside the ego, and 'our religion is reason' [Fichte, by Feuerbach]
     Full Idea: For Fichte there is no God outside the ego, and 'our religion is reason'.
     From: report of Johann Fichte (works [1798]) by Ludwig Feuerbach - Principles of Philosophy of the Future §17
     A reaction: Fichte was not an atheist, but this seems to be a supreme aphorism for summarising our image of the Englightenment. Personally I subscribe to the Enlightenment ideal (the best life is the rational life), despite doubts about 'pure' reason.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / a. Numbers
We can talk of 'innumerable number', about the infinite points on a line [Newton]
     Full Idea: If any man shall take the words number and sum in a larger sense, to understand things which are numberless and sumless (such as the infinite points on a line), I could allow him the contradictious phrase 'innumerable number' without absurdity.
     From: Isaac Newton (Letters to Bentley [1692], 1693.02.25)
     A reaction: [compressed] I take the key point here to be the phrase of taking number 'in a larger sense'. Like the word 'atom' in physics, the word 'number' retains its traditional reference, but has considerably shifted its scope. Amateurs must live with this.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Not all infinites are equal [Newton]
     Full Idea: It is an error that all infinites are equal.
     From: Isaac Newton (Letters to Bentley [1692], 1693.01.17)
     A reaction: There follows a discussion of the mathematicians' view of infinity. Cantor was not the first to notice that there is more than one sort of of infinity.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / k. Infinitesimals
Values that approach zero, becoming less than any quantity, are 'infinitesimals' [Cauchy]
     Full Idea: When the successive absolute values of a variable decrease indefinitely in such a way as to become less than any given quantity, that variable becomes what is called an 'infinitesimal'. Such a variable has zero as its limit.
     From: Augustin-Louis Cauchy (Cours d'Analyse [1821], p.19), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.4
     A reaction: The creator of the important idea of the limit still talked in terms of infinitesimals. In the next generation the limit took over completely.
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
When successive variable values approach a fixed value, that is its 'limit' [Cauchy]
     Full Idea: When the values successively attributed to the same variable approach indefinitely a fixed value, eventually differing from it by as little as one could wish, that fixed value is called the 'limit' of all the others.
     From: Augustin-Louis Cauchy (Cours d'Analyse [1821], p.19), quoted by Philip Kitcher - The Nature of Mathematical Knowledge 10.4
     A reaction: This seems to be a highly significan proposal, because you can now treat that limit as a number, and adds things to it. It opens the door to Cantor's infinities. Is the 'limit' just a fiction?
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Fichte believed in things-in-themselves [Fichte, by Moore,AW]
     Full Idea: Fichte retained a broadly Kantian conception of how things are in themselves.
     From: report of Johann Fichte (works [1798]) by A.W. Moore - The Evolution of Modern Metaphysics 07.2
     A reaction: The contrast is between those who believe in the thing-in-itself, while admitting that we can't know it, and those who deny such a thing. The debate returned 130 years later as verificationism in language.
We can deduce experience from self-consciousness, without the thing-in-itself [Fichte]
     Full Idea: We can abandon the thing-in-itself, and aim for 'a complete deduction of all experience from the possibility of self-consciousness'.
     From: Johann Fichte (works [1798], I p.425), quoted by Peter B. Lewis - Schopenhauer 3
     A reaction: German Idealism now looks to me like a weird abberation in the history of philosophy, though no doubt it has (like every philosophical theory) some supporters out there somewhere. Schopenhauer called this 'raving nonsense'.
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
The absolute I divides into consciousness, and a world which is not-I [Fichte, by Bowie]
     Full Idea: Fichte's very influential idea is that the subject becomes divided against itself. The absolute I splits into an I (consciousness) and a not-I (the objective world) that are relative to each other.
     From: report of Johann Fichte (works [1798]) by Andrew Bowie - Introduction to German Philosophy 3 'Fichtean'
     A reaction: This is German Idealism in action. Is there a before and after the split here? I can't make much sense of this idea. It is said that babies spend a while deciding which bits are them and which aren't. There is more to the world than 'not-I'.
Reason arises from freedom, so philosophy starts from the self, and not from the laws of nature [Fichte]
     Full Idea: Not by any law of nature do we attain to reason; we achieve it by absolute freedom. ...In philosophy, therefore, we must necessarily start from the self. The materialists' project of deriving the appearance of reason from natural laws is impossible.
     From: Johann Fichte (works [1798], I:298), quoted by A.W. Moore - The Evolution of Modern Metaphysics
     A reaction: I blame Descartes' Cogito for this misunderstanding. The underlying idea (in Kant, and probably earlier) is that pure reason needs pure free will. Modern thought usually sees reason as extremely impure.
Abandon the thing-in-itself; things only exist in relation to our thinking [Fichte]
     Full Idea: We must be rid of the thing-in-itself; for whatever we may think, we are that which thinks therein, and hence nothing could ever come to exist independently of us, for everything is necessarily related to our thinking.
     From: Johann Fichte (works [1798], I:501), quoted by A.W. Moore - The Evolution of Modern Metaphysics 06.3
     A reaction: Some statements of idealism are understandable, or even quite plausible, but this one sounds ridiculous. The idea that if human beings die out then reality ceases to exist is absurd humanistic vanity.
16. Persons / F. Free Will / 4. For Free Will
Spinoza could not actually believe his determinism, because living requires free will [Fichte]
     Full Idea: Spinoza could only think his philosophy, not believe it, for it stood in immediate contradiction to his necessary conviction in daily life, whereby he was bound to regard himself as free and independent.
     From: Johann Fichte (works [1798], I:513), quoted by A.W. Moore - The Evolution of Modern Metaphysics 06.2
     A reaction: This seems to be invoking Kant's idea that we must presuppose free will, rather than an assertion that we actually have it.
26. Natural Theory / D. Laws of Nature / 1. Laws of Nature
The principles of my treatise are designed to fit with a belief in God [Newton]
     Full Idea: When I wrote my treatise about our system, I had an eye upon such principles as might work with considering men, for the belief of a deity.
     From: Isaac Newton (Letters to Bentley [1692], 1692.12.10)
     A reaction: Harré quotes this, and it shows that the rather passive view of nature Newton developed was to be supplemented by the active power of God. Without God, we need a more active view of nature.
26. Natural Theory / D. Laws of Nature / 4. Regularities / a. Regularity theory
I do not pretend to know the cause of gravity [Newton]
     Full Idea: You sometimes speak of gravity as essential and inherent in matter. Pray do no ascribe that notion to me; for the cause of gravity is what I do not pretend to know.
     From: Isaac Newton (Letters to Bentley [1692], 1693.01.17)
     A reaction: I take science to be a two-stage operation - first we discern the regularities, and then we explain them. Evolution was spotted, then explained by Darwin. Cancer from cigarettes was spotted, but hasn't been explained. Regularity is the beginning.
26. Natural Theory / D. Laws of Nature / 8. Scientific Essentialism / e. Anti scientific essentialism
The motions of the planets could only derive from an intelligent agent [Newton]
     Full Idea: The motions which the planets now have could not spring from any natural cause alone, but were impressed by an intelligent agent.
     From: Isaac Newton (Letters to Bentley [1692], 1692.12.10)
     A reaction: He is writing to a cleric, but seems to be quite sincere about this. Elsewhere he just says he doesn't know what causes gravity.
That gravity should be innate and essential to matter is absurd [Newton]
     Full Idea: That gravity should be innate, inherent and essential to matter ...is to me so great an absurdity that I believe no man who has in philosophical matters a competent faculty of thinking can ever fall into it.
     From: Isaac Newton (Letters to Bentley [1692], 1693.02.25)
     A reaction: He is replying to some sermons, and he pays vague lip service to a possible divine force. Nevertheless, this is thoroughgoing anti-essentialism, and he talks of external 'laws' in the next sentence. Newton still sought the cause of gravity.