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All the ideas for 'Mathematical Methods in Philosophy', 'Thus Spake Zarathustra' and 'The Prince'

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39 ideas

1. Philosophy / A. Wisdom / 3. Wisdom Deflated
But what is the reasoning of the body, that it requires the wisdom you seek? [Nietzsche]
     Full Idea: There is more reason in your body than in your best wisdom. For who knows for what purpose your body requires precisely your best wisdom?
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.05)
     A reaction: Lovely question. For years I've paid lip-service to wisdom as the rough aim of all philosophy. Not quite knowing what wisdom is doesn't bother me, but knowing why I want wisdom certainly does, especially after this idea.
1. Philosophy / D. Nature of Philosophy / 8. Humour
Reject wisdom that lacks laughter [Nietzsche]
     Full Idea: Let that wisdom be false to us that brought no laughter with it!
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 3.12.23)
3. Truth / A. Truth Problems / 7. Falsehood
To love truth, you must know how to lie [Nietzsche]
     Full Idea: Inability to lie is far from being love of truth. ....He who cannot lie does not know what truth is.
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 4.13.9)
5. Theory of Logic / A. Overview of Logic / 9. Philosophical Logic
Three stages of philosophical logic: syntactic (1905-55), possible worlds (1963-85), widening (1990-) [Horsten/Pettigrew]
     Full Idea: Three periods can be distinguished in philosophical logic: the syntactic stage, from Russell's definite descriptions to the 1950s, the dominance of possible world semantics from the 50s to 80s, and a current widening of the subject.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 1)
     A reaction: [compressed] I've read elsewhere that the arrival of Tarski's account of truth in 1933, taking things beyond the syntactic, was also a landmark.
5. Theory of Logic / E. Structures of Logic / 1. Logical Form
Logical formalization makes concepts precise, and also shows their interrelation [Horsten/Pettigrew]
     Full Idea: Logical formalization forces the investigator to make the central philosophical concepts precise. It can also show how some philosophical concepts and objects can be defined in terms of others.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 2)
     A reaction: This is the main rationale of the highly formal and mathematical approach to such things. The downside is when you impose 'precision' on language that was never intended to be precise.
5. Theory of Logic / J. Model Theory in Logic / 1. Logical Models
Models are sets with functions and relations, and truth built up from the components [Horsten/Pettigrew]
     Full Idea: A (logical) model is a set with functions and relations defined on it that specify the denotation of the non-logical vocabulary. A series of recursive clauses explicate how truth values of complex sentences are compositionally determined from the parts.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3)
     A reaction: See the ideas on 'Functions in logic' and 'Relations in logic' (in the alphabetical list) to expand this important idea.
7. Existence / A. Nature of Existence / 1. Nature of Existence
If 'exist' doesn't express a property, we can hardly ask for its essence [Horsten/Pettigrew]
     Full Idea: If there is indeed no property of existence that is expressed by the word 'exist', then it makes no sense to ask for its essence.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 2)
     A reaction: As far as I can tell, this was exactly Aristotle's conclusion, so he skirted round the question of 'being qua being', and focused on the nature of objects instead. Grand continental talk of 'Being' doesn't sound very interesting.
10. Modality / E. Possible worlds / 1. Possible Worlds / a. Possible worlds
A Tarskian model can be seen as a possible state of affairs [Horsten/Pettigrew]
     Full Idea: A Tarskian model can in a sense be seen as a model of a possible state of affairs.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3)
     A reaction: I include this remark to show how possible worlds semantics built on the arrival of model theory.
The 'spheres model' was added to possible worlds, to cope with counterfactuals [Horsten/Pettigrew]
     Full Idea: The notion of a possible worlds model was extended (resulting in the concept of a 'spheres model') in order to obtain a satisfactory logical treatment of counterfactual conditional sentences.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 4)
     A reaction: Thus we add 'centred' worlds, and an 'actual' world, to the loose original model. It is important to remember when we discuss 'close' worlds that we are then committed to these presuppositions.
10. Modality / E. Possible worlds / 1. Possible Worlds / b. Impossible worlds
Epistemic logic introduced impossible worlds [Horsten/Pettigrew]
     Full Idea: The idea of 'impossible worlds' was introduced into epistemic logic.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 4)
     A reaction: Nathan Salmon seems interested in their role in metaphysics (presumably in relation to Meinongian impossible objects, like circular squares, which must necessarily be circular).
10. Modality / E. Possible worlds / 1. Possible Worlds / e. Against possible worlds
Possible worlds models contain sets of possible worlds; this is a large metaphysical commitment [Horsten/Pettigrew]
     Full Idea: Each possible worlds model contains a set of possible worlds. For this reason, possible worlds semantics is often charged with smuggling in heavy metaphysical commitments.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 3)
     A reaction: To a beginner it looks very odd that you should try to explain possibility by constructing a model of it in terms of 'possible' worlds.
Using possible worlds for knowledge and morality may be a step too far [Horsten/Pettigrew]
     Full Idea: When the possible worlds semantics were further extended to model notions of knowledge and of moral obligation, the application was beginning to look distinctly forced and artificial.
     From: Horsten,L/Pettigrew,R (Mathematical Methods in Philosophy [2014], 5)
     A reaction: They accept lots of successes in modelling necessity and time.
16. Persons / B. Nature of the Self / 7. Self and Body / a. Self needs body
The powerful self behind your thoughts and feelings is your body [Nietzsche]
     Full Idea: Behind your thoughts and feelings stands a powerful commander, an unknown wise man - he is called a self. He lives in your body; he is your body.
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], I.4), quoted by Kevin Aho - Existentialism: an introduction 5 'Creature'
     A reaction: I find Nietzsche's view of the self very congenial, though I tend to see the self as certain central functions of the brain. The brain is enmeshed in the body (as in the location of pains).
16. Persons / D. Continuity of the Self / 3. Reference of 'I'
Forget the word 'I'; 'I' is performed by the intelligence of your body [Nietzsche]
     Full Idea: You say 'I' and you are proud of this word. But greater than this - although you will not believe in it - is your body and its great intelligence, which does not say 'I' but performs 'I'.
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.05)
     A reaction: I'm not sure if I understand this, but I offer it as a candidate for the most profound idea ever articulated about personal identity.
20. Action / B. Preliminaries of Action / 2. Willed Action / a. Will to Act
The will is constantly frustrated by the past [Nietzsche]
     Full Idea: Powerless against that which has been done, the will is an angry spectator of all things past. The will cannot will backwards; that it cannot break time and time's desire - that is the will's most lonely affliction.
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 2.20)
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / d. Biological ethics
We created meanings, to maintain ourselves [Nietzsche]
     Full Idea: Man first implanted values into things to maintain himself - he first created the meaning of things, a human meaning!
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.16)
     A reaction: It is certainly hard to see anything resembling values or meaning in the cosmos, if you remove the human beings. We should expect an evolutionary grounding in their explanation.
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / f. Übermensch
The noble man wants new virtues; the good man preserves what is old [Nietzsche]
     Full Idea: The noble man wants to create new things and a new virtue. The good man wants the old things and that the old things shall be preserved.
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.09)
     A reaction: There is a limit to how many plausible virtues the noble men can come up with. We may already have run out. Are we going to have to re-run the Iliad?
22. Metaethics / B. Value / 2. Values / g. Love
We only really love children and work [Nietzsche]
     Full Idea: One loves from the very heart only one's child and one's work.
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 3.03)
     A reaction: Very Nietzchean (and masculine?) to cite one's work. Rachmaninov said he was 85% musician and 15% human being, so I guess he loved music from the very heart.
22. Metaethics / C. The Good / 2. Happiness / c. Value of happiness
I want my work, not happiness! [Nietzsche]
     Full Idea: Do I aspire after happiness? I aspire after my work!
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 4.20)
     A reaction: I empathise with aspiring to do something, rather than be something. But what do we wish for our children? Happiness first, then achievement?
23. Ethics / B. Contract Ethics / 3. Promise Keeping
If men are good you should keep promises, but they aren't, so you needn't [Machiavelli]
     Full Idea: If all men were good, promising-breaking would not be good, but because they are bad and do not keep their promises to you, you likewise do not have to keep yours to them.
     From: Niccolo Machiavelli (The Prince [1513], Ch.18)
     A reaction: A rather depressing proposal to get your promise-breaking in first, based on the pessimistic view that people cannot be improved. The subsequent history of ethics in Europe showed Machiavelli to be wrong. Gentlemen began to keep their word.
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
Virtues can destroy one another, through jealousy [Nietzsche]
     Full Idea: Every virtue is jealous of the others, and jealousy is a terrible thing. Even virtues can be destroyed through jealousy.
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.07)
     A reaction: How much more subtle and plausible than the picture of accumulating virtues, like medals! Zarathustra says it is best to have just one virtue.
23. Ethics / C. Virtue Theory / 4. External Goods / c. Wealth
People now find both wealth and poverty too much of a burden [Nietzsche]
     Full Idea: Nobody grows rich or poor any more: both are too much of a burden.
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.01)
     A reaction: True. Most people I know are just puzzled by people who actually seem to want to be extremely wealthy.
23. Ethics / C. Virtue Theory / 4. External Goods / d. Friendship
If you want friends, you must be a fighter [Nietzsche]
     Full Idea: If you want a friend, you must be willing to wage war for him: and to wage war, you must be capable of being an enemy.
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.15)
23. Ethics / F. Existentialism / 2. Nihilism
The greatest experience possible is contempt for your own happiness, reason and virtue [Nietzsche]
     Full Idea: What is the greatest thing you can experience? It is the hour of the great contempt. The hour in which even your happiness grows loathsome to you, and your reason and your virtue also.
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.01)
     A reaction: This would be a transient state for Nietzsche, in which you realise the hollowness of those traditional ideas, and begin to seek something else.
24. Political Theory / A. Basis of a State / 1. A People / c. A unified people
An enduring people needs its own individual values [Nietzsche]
     Full Idea: No people could live without evaluating; but if it wishes to maintain itself it must not evaluate as its neighbour evaluates.
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.16)
     A reaction: Political philosophers say plenty about a 'people', but little about what unifies them, or about what keeps one people distinct from another. Most people's are proud of their local values.
24. Political Theory / B. Nature of a State / 3. Constitutions
The principle foundations of all states are good laws and good armies [Machiavelli]
     Full Idea: The principle foundations of all states are good laws and good armies.
     From: Niccolo Machiavelli (The Prince [1513], Ch.11)
     A reaction: We may be wondering, since 1945, whether a good army is any longer essential, but it would be a foolish modern state which didn't at least form a strong alliance with a state which had a strong army. Fertile land is a huge benefit to a state.
The state coldly claims that it is the people, but that is a lie [Nietzsche]
     Full Idea: The state is the coldest of all cold monsters. Coldly it lies, too; and this lie creeps from its mouth: 'I, the state, am the people'. It is a lie!
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.12)
     A reaction: This strikes me as just as true even after everyone gets the vote. Rulers can't help gradually forgetting about the people.
24. Political Theory / C. Ruling a State / 2. Leaders / c. Despotism
People are vengeful, so be generous to them, or destroy them [Machiavelli]
     Full Idea: Men should be either treated generously or destroyed, because they take revenge for slight injuries.
     From: Niccolo Machiavelli (The Prince [1513], Ch.3)
     A reaction: This sounds like good advice, and works quite well in school teaching too. It seems like advice drawn from the growth of the Roman Empire, rather than from dealing with sophisticated and educated people.
To retain a conquered state, wipe out the ruling family, and preserve everything else [Machiavelli]
     Full Idea: If a ruler acquires a state and is determined to keep it, he observes two cautions: he wipes out the family of their long-established princes; and he does not change either their laws or their taxes; in a short time they will unite with his old princedom.
     From: Niccolo Machiavelli (The Prince [1513], Ch.3)
     A reaction: This nicely illustrates the firmness of purpose for which Machiavelli has become a byword. The question is whether Machiavelli had enough empirical evidence to support this induction. The British in India seem to have been successful without it.
A sensible conqueror does all his harmful deeds immediately, because people soon forget [Machiavelli]
     Full Idea: A prudent conqueror makes a list of all the harmful deeds he must do, and does them all at once, so that he need not repeat them every day, which then makes men feel secure, and gains their support by treating them well.
     From: Niccolo Machiavelli (The Prince [1513], Ch.8)
     A reaction: This might work for a new government in a democracy, or a new boss in a business. It sounds horribly true; dreadful deeds done a long time ago can be completely forgotten, as when reformed criminals become celebrities.
25. Social Practice / A. Freedoms / 5. Freedom of lifestyle
Saints want to live as they desire, or not to live at all [Nietzsche]
     Full Idea: 'To live as I desire to live or not to live at all': that is what I want, that is what the most saintly man wants.
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 4.09)
     A reaction: [spoken by Zarathustra]
25. Social Practice / D. Justice / 3. Punishment / b. Retribution for crime
Whenever we have seen suffering, we have wanted the revenge of punishment [Nietzsche]
     Full Idea: The spirit of revenge: my friends, that, up to now, has been mankind's chief concern; and where there was suffering, there was always supposed to be punishment.
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 2.20)
25. Social Practice / E. Policies / 1. War / a. Just wars
A desire to conquer, and men who do it, are always praised, or not blamed [Machiavelli]
     Full Idea: It is very natural and normal to wish to conquer, and when men do it who can, they always will be praised, or not blamed.
     From: Niccolo Machiavelli (The Prince [1513], Ch.3)
     A reaction: This view seems shocking to us, but it seems to me that this was a widely held view up until the time of Nietzsche, but came to a swift end with the invention of the machine gun in about 1885, followed by the heavy bomber and atomic bomb.
25. Social Practice / E. Policies / 2. Religion in Society
Machiavelli emancipated politics from religion [Machiavelli, by Watson]
     Full Idea: Machiavelli emancipated politics from religion.
     From: report of Niccolo Machiavelli (The Prince [1513]) by Peter Watson - Ideas Ch.24
     A reaction: Interestingly, he seems to have done it by saying that ideals are irrelevant to politics, but gradually secular ideals crept back in (sometimes disastrously). A balance needs to be struck on idealism.
25. Social Practice / F. Life Issues / 5. Sexual Morality
Man and woman are deeply strange to one another! [Nietzsche]
     Full Idea: Who has fully conceived how strange man and woman are to one another!
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 3.10.2)
28. God / A. Divine Nature / 2. Divine Nature
I can only believe in a God who can dance [Nietzsche]
     Full Idea: I should believe only in a God who understood how to dance.
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.08)
28. God / C. Attitudes to God / 5. Atheism
Not being a god is insupportable, so there are no gods! [Nietzsche]
     Full Idea: If there were gods, how could I endure not to be a god! Therefore there are no gods. ...For what would there to be create if gods - existed!
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 2.02)
     A reaction: [Zarathustra says this, not Nietzsche!]
29. Religion / D. Religious Issues / 2. Immortality / d. Heaven
Heaven was invented by the sick and the dying [Nietzsche]
     Full Idea: It was the sick and dying who despised the body and the earth and invented the things of heaven and the redeeming drops of blood.
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 1.04)
We don't want heaven; now that we are men, we want the kingdom of earth [Nietzsche]
     Full Idea: We certainly do not want to enter into the kingdom of heaven: we have become men, so we want the kingdom of earth.
     From: Friedrich Nietzsche (Thus Spake Zarathustra [1884], 4.18.2)