Combining Texts

All the ideas for 'Mathematical Methods in Philosophy', 'The Symposium' and 'Perceptual Content and Monadic Truth'

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29 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
The finest branch of wisdom is justice and moderation in ordering states and families [Plato]
     Full Idea: By far the greatest and fairest branch of wisdom is that which is concerned with the due ordering of states and families, whose name is moderation and justice.
     From: Plato (The Symposium [c.384 BCE], 209a)
     A reaction: ['Justice' is probably 'dikaiosune'] It is hard to disagree with this, and it relegates ivory tower philosophical contemplation to second place, unlike the late books of Aristotle's Ethics.
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.
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
Diotima said the Forms are the objects of desire in philosophical discourse [Plato, by Roochnik]
     Full Idea: According to Diotima, the Forms are the objects of desire operative in philosophical discourse.
     From: report of Plato (The Symposium [c.384 BCE], 210a4-) by David Roochnik - The Tragedy of Reason p.199
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.
13. Knowledge Criteria / A. Justification Problems / 1. Justification / b. Need for justification
True opinion without reason is midway between wisdom and ignorance [Plato]
     Full Idea: There is a state of mind half-way between wisdom and ignorance - having true opinions without being able to give reasons for them.
     From: Plato (The Symposium [c.384 BCE], 202a)
     A reaction: Compare Idea 2140, where Plato scorns this state of mind. What he describes could be split into two - purely lucky true beliefs, and 'externalist knowledge', with non-conscious justification.
16. Persons / E. Rejecting the Self / 1. Self as Indeterminate
Only the gods stay unchanged; we replace our losses with similar acquisitions [Plato]
     Full Idea: We retain identity not by staying the same (the preserve of gods) but by replacing losses with new similar acquisitions.
     From: Plato (The Symposium [c.384 BCE], 208b)
     A reaction: Any modern student of personal identity should be intrigued by this remark! It appears to take a rather physical view of the matter, and to be aware of human biology as a process. Are my continuing desires token-identical, or just 'similar'?
We call a person the same throughout life, but all their attributes change [Plato]
     Full Idea: During the period from boyhood to old age, man does not retain the same attributes, though he is called the same person.
     From: Plato (The Symposium [c.384 BCE], 207d)
     A reaction: This precisely identifies the basic problem of personal identity over time. If this is the problem, DNA looks more and more significant for the answer, though it would be an awful mistake to think a pattern of DNA was a person.
18. Thought / A. Modes of Thought / 9. Indexical Thought
If two people can have phenomenally identical experiences, they can't involve the self [Brogaard]
     Full Idea: It is plausible that you and I can have perceptual experiences with the same phenomenology of two trees at different distances from us (perhaps at different times). ..So our perceptual experiences cannot contain you or me in the content of representation.
     From: Berit Brogaard (Perceptual Content and Monadic Truth [2009], p.223), quoted by Cappelen,H/Dever,Josh - The Inessential Indexical 08.2
     A reaction: If you accept the example, which seems reasonable, then that pretty conclusively shows that perception is not inherently indexical.
21. Aesthetics / A. Aesthetic Experience / 4. Beauty
Beauty is harmony with what is divine, and ugliness is lack of such harmony [Plato]
     Full Idea: Ugliness is out of harmony with everything that is godly; beauty, however, is in harmony with the divine.
     From: Plato (The Symposium [c.384 BCE], 206d)
     A reaction: This remark shows how the concept of 'harmony' is at the centre of Greek thought (and is a potential bridge of the is/ought gap).
Love of ugliness is impossible [Plato]
     Full Idea: There cannot be such a thing as love of ugliness.
     From: Plato (The Symposium [c.384 BCE], 201a)
Beauty and goodness are the same [Plato]
     Full Idea: What is good is the same as what is beautiful.
     From: Plato (The Symposium [c.384 BCE], 201c)
21. Aesthetics / A. Aesthetic Experience / 5. Natural Beauty
Stage two is the realisation that beauty of soul is of more value than beauty of body [Plato]
     Full Idea: The second stage of progress is to realise that beauty of soul is more valuable than beauty of body.
     From: Plato (The Symposium [c.384 BCE], 210b)
Progress goes from physical beauty, to moral beauty, to the beauty of knowledge, and reaches absolute beauty [Plato]
     Full Idea: One should step up from physical beauty, to moral beauty, to the beauty of knowledge, until at last one knows what absolute beauty is.
     From: Plato (The Symposium [c.384 BCE], 211c)
     A reaction: Presumably this is why Socrates refused sexual favours to Alcibiades. The idea is inspiring, and yet it is a rejection of humanity.
21. Aesthetics / B. Nature of Art / 8. The Arts / a. Music
Music is a knowledge of love in the realm of harmony and rhythm [Plato]
     Full Idea: Music may be called a knowledge of the principles of love in the realm of harmony and rhythm.
     From: Plato (The Symposium [c.384 BCE], 187c)
22. Metaethics / B. Value / 2. Values / g. Love
Love follows beauty, wisdom is exceptionally beautiful, so love follows wisdom [Plato]
     Full Idea: Wisdom is one of the most beautiful of things, and Love is love of beauty, so it follows that Love must be a love of wisdom.
     From: Plato (The Symposium [c.384 BCE], 204b)
     A reaction: Good, but wisdom isn't the only exceptionally beautiful thing. Music is beautiful partly because it is devoid of ideas.
Love assists men in achieving merit and happiness [Plato]
     Full Idea: Phaedrus: Love is not only the oldest and most honourable of the gods, but also the most powerful to assist men in the acquisition of merit and happiness, both here and hereafter.
     From: Plato (The Symposium [c.384 BCE], 180b)
     A reaction: Maybe we should talk less of love as a feeling, and more as a motivation, not just in human relationships, but in activities like gardening and database compilation.
Love is desire for perpetual possession of the good [Plato]
     Full Idea: Love is desire for perpetual possession of the good.
     From: Plato (The Symposium [c.384 BCE], 206a)
     A reaction: Even the worst human beings often have lovers. 'Perpetual' is a nice observation.
22. Metaethics / C. The Good / 1. Goodness / d. Good as virtue
If a person is good they will automatically become happy [Plato]
     Full Idea: 'What will be gained by a man who is good?' 'That is easy - he will be happy'.
     From: Plato (The Symposium [c.384 BCE], 205a)
     A reaction: Suppose you tried to assassinate Hitler in 1944 (a good deed), but failed. Happiness presumably results from success, rather than mere good intentions.
22. Metaethics / C. The Good / 2. Happiness / b. Eudaimonia
Happiness is secure enjoyment of what is good and beautiful [Plato]
     Full Idea: By happy you mean in secure enjoyment of what is good and beautiful? - Certainly.
     From: Plato (The Symposium [c.384 BCE], 202c)
     A reaction: We seem to have lost track of the idea that beauty might be an essential ingredient of happiness.
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / c. Motivation for virtue
The only slavery which is not dishonourable is slavery to excellence [Plato]
     Full Idea: The only form of servitude which has no dishonour has for its object the acquisition of excellence.
     From: Plato (The Symposium [c.384 BCE], 184c)
The first step on the right path is the contemplation of physical beauty when young [Plato]
     Full Idea: The man who would pursue the right way to his goal must begin, when he is young, by contemplating physical beauty.
     From: Plato (The Symposium [c.384 BCE], 210a)
28. God / A. Divine Nature / 3. Divine Perfections
Gods are not lovers of wisdom, because they are already wise [Plato]
     Full Idea: No god is a lover of wisdom or desires to be wise, for he is wise already.
     From: Plato (The Symposium [c.384 BCE], 204a)