Combining Texts

All the ideas for 'The Gettier Problem', 'Rechnungsmethoden (dissertation)' and 'What is Good?'

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9 ideas

1. Philosophy / C. History of Philosophy / 3. Earlier European Philosophy / c. Later medieval philosophy
Lucretius was rediscovered in 1417 [Grayling]
     Full Idea: Lucretius's 'De Rerum Natura' was rediscovered in 1417, after languishing forgotten for six centuries.
     From: A.C. Grayling (What is Good? [2003], Ch.5)
     A reaction: A wonder. Is it the greatest book of the ancient world - because it partially preserves the lost philosophy of great Democritus?
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / c. Priority of numbers
Quantity is inconceivable without the idea of addition [Frege]
     Full Idea: There is so intimate a connection between the concepts of addition and of quantity that one cannot begin to grasp the latter without the former.
     From: Gottlob Frege (Rechnungsmethoden (dissertation) [1874], p.2), quoted by Michael Dummett - Frege philosophy of mathematics 22 'Quantit'
     A reaction: Frege offers good reasons for making cardinals prior to ordinals, though plenty of people disagree.
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Geometry appeals to intuition as the source of its axioms [Frege]
     Full Idea: The elements of all geometrical constructions are intuitions, and geometry appeals to intuition as the source of its axioms.
     From: Gottlob Frege (Rechnungsmethoden (dissertation) [1874], Ch.6), quoted by Michael Dummett - Frege philosophy of mathematics
     A reaction: Very early Frege, but he stuck to this view, while firmly rejecting intuition as a source of arithmetic. Frege would have known well that Euclid's assumption about parallels had been challenged.
13. Knowledge Criteria / A. Justification Problems / 2. Justification Challenges / b. Gettier problem
A Gettier case is a belief which is true, and its fallible justification involves some luck [Hetherington]
     Full Idea: A Gettier case contains a belief which is true and well justified without being knowledge. Its justificatory support is also fallible, ...and there is considerable luck in how the belief combnes being true with being justified.
     From: Stephen Hetherington (The Gettier Problem [2011], 5)
     A reaction: This makes luck the key factor. 'Luck' is a rather vague concept, and so the sort of luck involved must first be spelled out. Or the varieties of luck that can produce this outcome.
23. Ethics / C. Virtue Theory / 3. Virtues / e. Honour
In an honour code shame is the supreme punishment, and revenge is a duty [Grayling]
     Full Idea: An honour code is one in which the greatest punishment is shame, and in which revenge is a duty.
     From: A.C. Grayling (What is Good? [2003], Ch.2)
     A reaction: Is this really what Nietzsche wanted to revive? Shame isn't a private matter - it needs solidarity of values in the community, and contempt for dishonour, so that it becomes everyone's worst fear.
25. Social Practice / F. Life Issues / 4. Suicide
If suicide is lawful, but assisting suicide is unlawful, powerless people are denied their rights [Grayling]
     Full Idea: An anomaly created by England's 1961 Suicide Act is that it is lawful to take one's own life, but unlawful to help anyone else to do it. This means anyone unable to commit suicide without help is denied one of their fundamental rights.
     From: A.C. Grayling (What is Good? [2003], Ch.8)
     A reaction: There is a difference, not really captured either by law or by reason, between tolerating an activity, and encouraging and helping it. I think the test question is "this activity is legal, but would you want your child to do it?"
29. Religion / D. Religious Issues / 1. Religious Commitment / a. Religious Belief
Religion gives answers, comforts, creates social order, and panders to superstition [Grayling]
     Full Idea: The four standard explanations given for religion are that it provides answer, that it gives comfort, that it makes for social order, and that it rests on mere superstition.
     From: A.C. Grayling (What is Good? [2003], Ch.4)
     A reaction: All four of these could be correct, though the first and fourth would be incompatible if religion gives correct answers. Why religion begins might be not the same as the reason why it continues.
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
To make an afterlife appealing, this life has to be denigrated [Grayling]
     Full Idea: It is remarkable how much the life of this world has to be denigrated to make the promise of happiness after death appealing.
     From: A.C. Grayling (What is Good? [2003], Ch.4)
     A reaction: This seems to be true of most religions, but it could be otherwise. Surely you want such a wonderful life to continue after death? But then you would not be obliged to do anything difficult to achieve immortality. Power comes into it...
In Greek mythology only heroes can go to heaven [Grayling]
     Full Idea: In Greek mythology only a hero like Hercules could hope to go to heaven (by becoming a god himself).
     From: A.C. Grayling (What is Good? [2003], Ch.4)
     A reaction: This illustrates Nietsche's 'inversion of morality' most clearly, because Christianity says that the person most likely to go to heaven is the humblest person.