Combining Texts

All the ideas for 'fragments/reports', 'The Journals of Kierkegaard' and 'Philosophy of Arithmetic'

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15 ideas

1. Philosophy / D. Nature of Philosophy / 2. Invocation to Philosophy
Fixed ideas should be tackled aggressively [Kierkegaard]
     Full Idea: Fixed ideas are like a cramp in your foot: the best remedy is to stomp on them.
     From: Søren Kierkegaard (The Journals of Kierkegaard [1850], JP-III, 635)
     A reaction: Sound philosophical advice at any time. [SY] Does this apply in seminars, as well as in private meditation? [PG]
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Philosophy can't be unbiased if it ignores language, as that is no more independent than individuals are [Kierkegaard]
     Full Idea: If the claim of philosophers to be unbiased were all it pretends to be, it would have to take account of language and its significance...Language is partly given and partly develops freely. As individuals cannot be truly independent, so too with language.
     From: Søren Kierkegaard (The Journals of Kierkegaard [1850], 1840.07.18)
     A reaction: A surprisingly prophetic entry from Kierkegaard anticipating the linguistic turn. [SY]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / l. Zero
0 is not a number, as it answers 'how many?' negatively [Husserl, by Dummett]
     Full Idea: Husserl contends that 0 is not a number, on the grounds that 'nought' is a negative answer to the question 'how many?'.
     From: report of Edmund Husserl (Philosophy of Arithmetic [1894], p.144) by Michael Dummett - Frege philosophy of mathematics Ch.8
     A reaction: I seem to be in a tiny minority in thinking that Husserl may have a good point. One apple is different from one orange, but no apples are the same as no oranges. That makes 0 a very peculiar number. See Idea 9838.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / a. Units
Multiplicity in general is just one and one and one, etc. [Husserl]
     Full Idea: Multiplicity in general is no more than something and something and something, etc.; ..or more briefly, one and one and one, etc.
     From: Edmund Husserl (Philosophy of Arithmetic [1894], p.85), quoted by Gottlob Frege - Review of Husserl's 'Phil of Arithmetic'
     A reaction: Frege goes on to attack this idea fairly convincingly. It seems obvious that it is hard to say that you have seventeen items, if the only numberical concept in your possession is 'one'. How would you distinguish 17 from 16? What makes the ones 'multiple'?
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / e. Counting by correlation
Husserl said counting is more basic than Frege's one-one correspondence [Husserl, by Heck]
     Full Idea: Husserl famously argued that one should not explain number in terms of equinumerosity (or one-one correspondence), but should explain equinumerosity in terms of sameness of number, which should be characterised in terms of counting.
     From: report of Edmund Husserl (Philosophy of Arithmetic [1894]) by Richard G. Heck - Cardinality, Counting and Equinumerosity 3
     A reaction: [Heck admits he hasn't read the Husserl] I'm very sympathetic to Husserl, though nearly all modern thinking favours Frege. Counting connects numbers to their roots in the world. Mathematicians seem oblivious of such things.
15. Nature of Minds / C. Capacities of Minds / 3. Abstraction by mind
Husserl identifies a positive mental act of unification, and a negative mental act for differences [Husserl, by Frege]
     Full Idea: Husserl identifies a 'unitary mental act' where several contents are connected or related to one another, and also a difference-relation where two contents are related to one another by a negative judgement.
     From: report of Edmund Husserl (Philosophy of Arithmetic [1894], p.73-74) by Gottlob Frege - Review of Husserl's 'Phil of Arithmetic' p.322
     A reaction: Frege is setting this up ready for a fairly vicious attack. Where Hume has a faculty for spotting resemblances, it is not implausible that we should also be hard-wired to spot differences. 'You look different; have you changed your hair style?'
18. Thought / D. Concepts / 4. Structure of Concepts / b. Analysis of concepts
We clarify concepts (e.g. numbers) by determining their psychological origin [Husserl, by Velarde-Mayol]
     Full Idea: Husserl said that the clarification of any concept is made by determining its psychological origin. He is concerned with the psychological origins of the operation of calculating cardinal numbers.
     From: report of Edmund Husserl (Philosophy of Arithmetic [1894]) by Victor Velarde-Mayol - On Husserl 2.2
     A reaction: This may not be the same as the 'psychologism' that Frege so despised, because Husserl is offering a clarification, rather than the intrinsic nature of number concepts. It is not a theory of the origin of numbers.
18. Thought / E. Abstraction / 8. Abstractionism Critique
Psychologism blunders in focusing on concept-formation instead of delineating the concepts [Dummett on Husserl]
     Full Idea: Husserl substitutes his account of the process of concept-formation for a delineation of the concept. It is above all in making this substitution that psychologism is objectionable (and Frege opposed it so vehemently).
     From: comment on Edmund Husserl (Philosophy of Arithmetic [1894]) by Michael Dummett - Frege philosophy of mathematics Ch.2
     A reaction: While this is a powerful point which is a modern orthodoxy, it hardly excludes a study of concept-formation from being of great interest for other reasons. It may not appeal to logicians, but it is crucial part of the metaphysics of nature.
Husserl wanted to keep a shadowy remnant of abstracted objects, to correlate them [Dummett on Husserl]
     Full Idea: Husserl saw that abstracted units, though featureless, must in some way retain their distinctness, some shadowy remnant of their objects. So he wanted to correlate like-numbered sets, not just register their identity, but then abstractionism fails.
     From: comment on Edmund Husserl (Philosophy of Arithmetic [1894]) by Michael Dummett - Frege philosophy of mathematics Ch.12
     A reaction: Abstractionism is held to be between the devil and the deep blue sea, of depending on units which are identifiable, when they are defined as devoid of all individuality. We seem forced to say that the only distinction between them is countability.
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
Musical performance can reveal a range of virtues [Damon of Ath.]
     Full Idea: In singing and playing the lyre, a boy will be likely to reveal not only courage and moderation, but also justice.
     From: Damon (fragments/reports [c.460 BCE], B4), quoted by (who?) - where?
22. Metaethics / B. Value / 2. Values / g. Love
If people marry just because they are lonely, that is self-love, not love [Kierkegaard]
     Full Idea: People despair about being lonely and therefore get married. But is this love? I should say it is self-love.
     From: Søren Kierkegaard (The Journals of Kierkegaard [1850], JP-III, 40-41)
     A reaction: If you decide to marry someone because you don't want to be an old maid/bachelor in your elder years, try to actually love the person you're marrying. Not just for money or sex. [SY]
23. Ethics / F. Existentialism / 4. Boredom
Our destiny is the highest pitch of world-weariness [Kierkegaard]
     Full Idea: Our destiny in this life is to be brought to the highest pitch of world-weariness.
     From: Søren Kierkegaard (The Journals of Kierkegaard [1850], 1855.09.25), quoted by Alastair Hannay - Kierkegaard 10
     A reaction: The beginning of his last entry. Hardly a great general truth, but interesting. Should we aspire to exhaust life?
23. Ethics / F. Existentialism / 7. Existential Action
Life may be understood backwards, but it has to be lived forwards [Kierkegaard]
     Full Idea: Philosophy is perfectly right in saying that life must be understood backwards. But then it forgets the other side - that it must be lived forwards.
     From: Søren Kierkegaard (The Journals of Kierkegaard [1850], JP-III, 635)
     A reaction: Some of the best philosophers dwell too much on philosophy, history and the past, while forgetting to actually live and enjoy their lives. [SY]
29. Religion / B. Monotheistic Religion / 4. Christianity / a. Christianity
The best way to be a Christian is without 'Christianity' [Kierkegaard]
     Full Idea: One best becomes a Christian - without 'Christianity'.
     From: Søren Kierkegaard (The Journals of Kierkegaard [1850], JP-1:214)
     A reaction: A very healthy attitude for followers of Jesus, given today's television evangelists, religious fundamentalist and zealots. [SY]
We need to see that Christianity cannot be understood [Kierkegaard]
     Full Idea: The problem is not to understand Christianity, but to understand that it cannot be understood.
     From: Søren Kierkegaard (The Journals of Kierkegaard [1850], p.146), quoted by Kevin Aho - Existentialism: an introduction 1 'Roots'
     A reaction: This seems to cut us intellectually adrift. We could say the same of supporting Real Madrid. There has to be some magnetism which holds our attention, and there must be something to say about that.