Combining Texts

All the ideas for 'Mahaprajnaparamitashastra', 'The Journals of Kierkegaard' and 'The philosophical basis of intuitionist logic'

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13 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]
4. Formal Logic / E. Nonclassical Logics / 2. Intuitionist Logic
Dummett says classical logic rests on meaning as truth, while intuitionist logic rests on assertability [Dummett, by Kitcher]
     Full Idea: Dummett argues that classical logic depends on the choice of the concept of truth as central to the theory of meaning, while for the intuitionist the concept of assertability occupies this position.
     From: report of Michael Dummett (The philosophical basis of intuitionist logic [1973]) by Philip Kitcher - The Nature of Mathematical Knowledge 06.5
     A reaction: Since I can assert any nonsense I choose, this presumably means 'warranted' assertability, which is tied to the concept of proof in mathematics. You can reason about falsehoods, or about uninterpreted variables. Can you 'assert' 'Fx'?
5. Theory of Logic / G. Quantification / 1. Quantification
Classical quantification is an infinite conjunction or disjunction - but you may not know all the instances [Dummett]
     Full Idea: Classical quantification represents an infinite conjunction or disjunction, and the truth-value is determined by the infinite sum or product of the instances ....but this presupposes that all the instances already possess determinate truth-values.
     From: Michael Dummett (The philosophical basis of intuitionist logic [1973], p.246)
     A reaction: In the case of the universal quantifier, Dummett is doing no more than citing the classic empiricism objection to induction - that you can't make the universal claim if you don't know all the instances. The claim is still meaningful, though.
19. Language / A. Nature of Meaning / 4. Meaning as Truth-Conditions
Stating a sentence's truth-conditions is just paraphrasing the sentence [Dummett]
     Full Idea: An ability to state the condition for the truth of a sentence is, in effect, no more than an ability to express the content of the sentence in other words.
     From: Michael Dummett (The philosophical basis of intuitionist logic [1973], p.224)
     A reaction: Alternatively, if you give something other than a paraphrase of the sentence as its meaning (such as a proof of its truth), then you seem to have departed from your target sentence. Can we reduce and eliminate our sentences in this way?
If a sentence is effectively undecidable, we can never know its truth conditions [Dummett]
     Full Idea: If a sentence is effectively undecidable, the condition which must obtain for it to be true is not one which we are capable of recognising whenever it obtains, or of getting ourselves in a position to do so.
     From: Michael Dummett (The philosophical basis of intuitionist logic [1973], p.225)
     A reaction: The instances of 'undecidable' sentences are most clearly seen in mathematics, such as the Continuum Hypothesis or Goldbach's Conjecture, or anything involving vast infinite cardinals. But do you need precise truth-conditions for meaning?
19. Language / A. Nature of Meaning / 6. Meaning as Use
Meaning as use puts use beyond criticism, and needs a holistic view of language [Dummett]
     Full Idea: If use constitutes meaning, it might seem that use is beyond criticism. ....But such an attitude can, ultimately, be supported onlly by the adoption of a holistic view of language.
     From: Michael Dummett (The philosophical basis of intuitionist logic [1973], p.218)
     A reaction: Dummett goes on to say that the rejection of the holistic view of mathematical meaning leads to his preference for intuitionistic logic.
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 / C. Virtue Theory / 3. Virtues / a. Virtues
The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna]
     Full Idea: The six perfections are of giving, morality, patience, vigour, meditation, and wisdom.
     From: Nagarjuna (Mahaprajnaparamitashastra [c.120], 88)
     A reaction: What is 'morality', if giving is not part of it? I like patience and vigour being two of the virtues, which immediately implies an Aristotelian mean (which is always what is 'appropriate').
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.