Combining Texts

All the ideas for 'teaching', 'Universals' and 'Sameness and Substance'

unexpand these ideas     |    start again     |     specify just one area for these texts


54 ideas

1. Philosophy / A. Wisdom / 1. Nature of Wisdom
Speak the truth, for this alone deifies man [Pythagoras, by Porphyry]
     Full Idea: Pythagoras advised above all things to speak the truth, for this alone deifies man.
     From: report of Pythagoras (reports [c.530 BCE]) by Porphyry - Life of Pythagoras §41
     A reaction: Idea 4421 (of Nietzsche) stands in contrast to this. I am not quite sure why speaking the truth has such a high value. I am inclined to a minimalist view, which is just that philosophy is an attempt to speak the truth, as fishermen try to catch fish.
1. Philosophy / B. History of Ideas / 2. Ancient Thought
Pythagoras discovered the numerical relation of sounds on a string [Pythagoras, by Diog. Laertius]
     Full Idea: Pythagoras discovered the numerical relation of sounds on a string.
     From: report of Pythagoras (reports [c.530 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 08.1.11
1. Philosophy / F. Analytic Philosophy / 5. Linguistic Analysis
Semantic facts are preferable to transcendental philosophical fiction [Wiggins]
     Full Idea: Semantical fact is almost always more interesting than transcendental philosophical fiction.
     From: David Wiggins (Sameness and Substance [1980], 3.1 n4)
     A reaction: An interesting expression of a more sophisticated recent allegiance to linguistic philosophy. There is still a strong allegiance to semantics as a major branch of philosophy, despite caution (e.g. from Nathan Salmon) about its scope.
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / m. One
For Pythagoreans 'one' is not a number, but the foundation of numbers [Pythagoras, by Watson]
     Full Idea: For Pythagoreans, one, 1, is not a true number but the 'essence' of number, out of which the number system emerges.
     From: report of Pythagoras (reports [c.530 BCE], Ch.8) by Peter Watson - Ideas Ch.8
     A reaction: I think this is right! Counting and numbers only arise once the concept of individuality and identity have arisen. Counting to one is no more than observing the law of identity. 'Two' is the big adventure.
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / d. Counting via concepts
Maybe the concept needed under which things coincide must also yield a principle of counting [Wiggins]
     Full Idea: My thesis C says that to specify something or other under which a and b coincide is to specify a concept f which qualifies for this purpose only if it yields a principle of counting for fs. ...I submit that C is false, though a near miss.
     From: David Wiggins (Sameness and Substance [1980], 1.1)
The sortal needed for identities may not always be sufficient to support counting [Wiggins]
     Full Idea: My principle C seems unnecessary ...since it is one thing to see how many fs there are...but another to have a perfectly general method. ...One could answer whether this f-compliant is the same as that one, but there are too many ways to articulate it.
     From: David Wiggins (Sameness and Substance [1980], 2.8)
     A reaction: His famous example is trying to count the Pope's crown, which is made of crowns. A clearer example might be a rectangular figure divided up into various overlapping rectangles. Individuation is easy, but counting is contextual.
7. Existence / D. Theories of Reality / 2. Realism
Realist Conceptualists accept that our interests affect our concepts [Wiggins]
     Full Idea: The realist conceptualist may cheerfully admit that the sortal concepts of which we are possessed are the creatures of our interests; …and also that there need be no one way in which we must articulate reality.
     From: David Wiggins (Sameness and Substance [1980], 5.2)
     A reaction: Wiggins calls himself a 'realist conceptualist'. In his terminology, I seem to be an 'anti-conceptualist realist'. The issue concerns aspects of reality that extend beyond our concepts. The 99th d.p. of the mass of the electron.
Conceptualism says we must use our individuating concepts to grasp reality [Wiggins]
     Full Idea: What Conceptualism entails is that, although horses and stars are not inventions or artefacts, in order to single out these things we must deploy a conceptual scheme which has been formed in such a way as to make singling them out possible.
     From: David Wiggins (Sameness and Substance [1980], 5.5)
     A reaction: I don't quite see why the 'singling out' role of the concepts is the only one that generates them, or makes them fit for purpose. In general, of course, our conceptual scheme is necessarily a response to our experience of the world.
7. Existence / E. Categories / 3. Proposed Categories
Animal classifications: the Emperor's, fabulous, innumerable, like flies, stray dogs, embalmed…. [Wiggins]
     Full Idea: A Chinese encyclopedia classifies animals as belonging to the Emperor, embalmed, tame, sucking pigs, sirens, fabulous, stray dogs, included in this classification, frenzied, innumerable, drawn with a fine brush, etcetera, or look for afar like flies.
     From: David Wiggins (Sameness and Substance [1980], 5.7 n18)
     A reaction: [This glorious quotation comes from a story by Borges, first spotted by Foucault]
8. Modes of Existence / B. Properties / 13. Tropes / a. Nature of tropes
One moderate nominalist view says that properties and relations exist, but they are particulars [Armstrong]
     Full Idea: There is a 'moderate' nominalism (found in G.F.Stout, for example) which says that properties and relations do exist, but that they are particulars rather than universals.
     From: David M. Armstrong (Universals [1995], p.504)
     A reaction: Both this view and the 'mereological' view seem to be ducking the problem. If you have two red particulars and a green one, how do we manage to spot the odd one out?
8. Modes of Existence / B. Properties / 13. Tropes / b. Critique of tropes
If properties and relations are particulars, there is still the problem of how to classify and group them [Armstrong]
     Full Idea: The view that properties exist, but are particulars rather than universals, is still left with the problem of classification. On what basis do we declare that different things have the same property?
     From: David M. Armstrong (Universals [1995], p.504)
     A reaction: This seems like a fairly crucial objection. The original problem was how we manage to classify things (group them into sets), and it looks as if this theory leaves the problem untouched.
8. Modes of Existence / D. Universals / 1. Universals
Should we decide which universals exist a priori (through words), or a posteriori (through science)? [Armstrong]
     Full Idea: Should we decide what universals exist a priori (probably on semantic grounds, identifying them with the meanings of general words), or a posteriori (looking to our best general theories about nature to give revisable conjectures about universals)?
     From: David M. Armstrong (Universals [1995], p.505)
     A reaction: Nice question for a realist. Although the problem is first perceived in the use of language, if we think universals are a real feature of nature, we should pursue them scientifically, say I.
8. Modes of Existence / D. Universals / 4. Uninstantiated Universals
It is claimed that some universals are not exemplified by any particular, so must exist separately [Armstrong]
     Full Idea: There are some who claim that there can be uninstantiated universals, which are not exemplified by any particular, past, present or future; this would certainly imply that those universals have a Platonic transcendent existence outside time and space.
     From: David M. Armstrong (Universals [1995], p.504)
     A reaction: Presumably this is potentially circular or defeasible, because one can deny the universal simply because there is no particular.
8. Modes of Existence / E. Nominalism / 2. Resemblance Nominalism
'Resemblance Nominalism' finds that in practice the construction of resemblance classes is hard [Armstrong]
     Full Idea: It is difficult for Resemblance Nominalists to construct their interconnected classes in practice.
     From: David M. Armstrong (Universals [1995], p.503)
     A reaction: Given the complexity of the world this is hardly surprising, but it doesn't seem insuperable for the theory. It is hard to decide whether an object is white, or hot, whatever your theory of universals.
'Resemblance Nominalism' says properties are resemblances between classes of particulars [Armstrong]
     Full Idea: Resemblance Nominalists say that to have a property is to be a member of a class which is part of a network of resemblance relations with other classes of particulars. ..'Resemblance' is taken to be a primitive notion, though one that admits of degrees.
     From: David M. Armstrong (Universals [1995], p.503)
     A reaction: Intuition suggests that this proposal has good prospects, as properties are neither identical, nor just particulars, but have a lot in common, which 'resemblance' captures. Hume saw resemblance as a 'primitive' process.
8. Modes of Existence / E. Nominalism / 3. Predicate Nominalism
'Predicate Nominalism' says that a 'universal' property is just a predicate applied to lots of things [Armstrong]
     Full Idea: For a Predicate Nominalist different things have the same property, or belong to the same kind, if the same predicates applies to, or is 'true of', the different things.
     From: David M. Armstrong (Universals [1995], p.503)
     A reaction: This immediately strikes me as unlikely, because I think the action is at the proposition level, not the sentence level. And why do some predicates seem to be synonymous?
8. Modes of Existence / E. Nominalism / 4. Concept Nominalism
Concept and predicate nominalism miss out some predicates, and may be viciously regressive [Armstrong]
     Full Idea: The standard objections to Predicate and Concept Nominalism are that some properties have no predicates or concepts, and that predicates and concepts seem to be types rather than particulars, and it is types the theory is seeking to analyse.
     From: David M. Armstrong (Universals [1995], p.503)
     A reaction: The claim that some properties have no concepts is devastating if true, but may not be. The regress problem is likely to occur in any explanation of universals, I suspect.
'Concept Nominalism' says a 'universal' property is just a mental concept applied to lots of things [Armstrong]
     Full Idea: Concept Nominalism says different things have the same property, or belong to the same kind, if the same concept in the mind is applied to different things.
     From: David M. Armstrong (Universals [1995], p.503)
     A reaction: This is more appealing than Predicate Nominalism, and may be right. Our perception of the 'properties' of a thing may be entirely dictated by human interests, not by nature.
8. Modes of Existence / E. Nominalism / 5. Class Nominalism
'Class Nominalism' may explain properties if we stick to 'natural' sets, and ignore random ones [Armstrong]
     Full Idea: Class Nominalism can be defended (by Quinton) against the problem of random sets (with nothing in common), by giving an account of properties in terms of 'natural' classes, where 'natural' comes in degrees, but is fundamental and unanalysable.
     From: David M. Armstrong (Universals [1995], p.503)
     A reaction: This still seems to beg the question, because you still have to decide whether two things have anything 'naturally' in common before you assign them to a set.
'Class Nominalism' says that properties or kinds are merely membership of a set (e.g. of white things) [Armstrong]
     Full Idea: Class Nominalists substitute classes or sets for properties or kinds, so that being white is just being a member of the set of white things; relations are treated as ordered sets.
     From: David M. Armstrong (Universals [1995], p.503)
     A reaction: This immediately seems wrong, because it invites the question of why something is a member of a set (unless membership is arbitrary and whimsical - which it usually isn't).
'Class Nominalism' cannot explain co-extensive properties, or sets with random members [Armstrong]
     Full Idea: Class Nominalism cannot explain co-extensive properties (which qualify the same things), and also a random (non-natural) set has particulars with nothing in common, thus failing to capture an essential feature of a general property.
     From: David M. Armstrong (Universals [1995], p.503)
     A reaction: These objections strike me as conclusive, since we can assign things to a set quite arbitrarily, so membership of a set may signify no shared property at all (except, say, 'owned by me', which is hardly a property).
8. Modes of Existence / E. Nominalism / 6. Mereological Nominalism
'Mereological Nominalism' sees whiteness as a huge white object consisting of all the white things [Armstrong]
     Full Idea: Mereological Nominalism views a property as the omnitemporal whole or aggregate of all the things said to have the property, so whiteness is a huge white object whose parts are all the white things.
     From: David M. Armstrong (Universals [1995], p.503)
     A reaction: A charming proposal, in which bizarre and beautiful unities thread themselves across the universe, but white objects may also be soft and warm.
'Mereological Nominalism' may work for whiteness, but it doesn't seem to work for squareness [Armstrong]
     Full Idea: Mereological Nominalism has some plausibility for a case like whiteness, but breaks down completely for other universals, such as squareness.
     From: David M. Armstrong (Universals [1995], p.503)
     A reaction: A delightful request that you attempt a hopeless feat of imagination, by seeing all squares as parts of one supreme square. A nice objection.
9. Objects / A. Existence of Objects / 5. Individuation / a. Individuation
Individuation needs accounts of identity, of change, and of singling out [Wiggins]
     Full Idea: A theory of individuation must comprise at least three things: an elucidation of the primitive concept of identity or sameness; what it is to be a substance that persists through change; and what it is for a thinker to single out the same substance.
     From: David Wiggins (Sameness and Substance [1980], Pre 1)
     A reaction: [compressed] Metaphysics seems to need a theory of identity, but I am not yet convinced that it also needs a theory of 'individuation'. Never mind, press on and create one, and see how it looks. Aristotle wanted to explain predication too.
Individuation can only be understood by the relation between things and thinkers [Wiggins]
     Full Idea: Understanding the concepts involved in individuation can only be characterised by reference to observable commerce between things singled out and thinkers who think or find their way around the world precisely by singling them out.
     From: David Wiggins (Sameness and Substance [1980], Pre 1)
     A reaction: I take individuation to be relatively uninteresting, because I understand identity independently of how we single things out, but Wiggins's reliance on sortals implies that the very identity of things in the world is knee deep in mental activity.
9. Objects / A. Existence of Objects / 5. Individuation / c. Individuation by location
Singling out extends back and forward in time [Wiggins]
     Full Idea: The singling out of a substance at a time reaches backwards and forwards to time before and after that time.
     From: David Wiggins (Sameness and Substance [1980], Pre 2)
     A reaction: Presumably this is an inferred history and persistence conditions. Sounds fine in a stable world. We assume (a priori?) that any object will have a space-time line for its duration.
9. Objects / A. Existence of Objects / 5. Individuation / e. Individuation by kind
The only singling out is singling out 'as' something [Wiggins]
     Full Idea: There could be no singling out tout court unless there could be singling out 'as'.
     From: David Wiggins (Sameness and Substance [1980], Pre 2)
     A reaction: I find this claim baffling. Do animals categorise everything they engage with? Are we unable to engage with something if we have not yet categorised it? Surely picking it out is prior to saying that sort of thing it is?
In Aristotle's sense, saying x falls under f is to say what x is [Wiggins]
     Full Idea: To say that x falls under f - or that x is an f - is to say what x is (in the sense Aristotle isolated).
     From: David Wiggins (Sameness and Substance [1980], 2.1)
     A reaction: This is a key claim in Wiggins's main principle. I'm not convinced. He wants one main sortal to do all the work. I don't think Aristotle at all intended the 'nature' of an individual thing to be given by a single sortal under which it falls.
Every determinate thing falls under a sortal, which fixes its persistence [Wiggins]
     Full Idea: We can expect that, for every completely determinate continuant, there will be at least one sortal concept that it falls under and that determines a principle of persistence for it.
     From: David Wiggins (Sameness and Substance [1980], 2.4)
     A reaction: I think he has the 'determines' relation the wrong way round! Being a tiger doesn't determine anything about persistence. It is having that nature and those persistence conditions which make it a tiger. And why does he optimistically 'expect' this?
9. Objects / D. Essence of Objects / 5. Essence as Kind
Natural kinds are well suited to be the sortals which fix substances [Wiggins]
     Full Idea: Among the best candidates to play the roles of sortal and substantial predicates are the natural kind words.
     From: David Wiggins (Sameness and Substance [1980], 3.1)
     A reaction: There is always a danger of circularity with this kind of approach. How do we distinguish the genuine natural kinds from the dubious ones?
9. Objects / D. Essence of Objects / 11. Essence of Artefacts
Artefacts are individuated by some matter having a certain function [Wiggins]
     Full Idea: Ordinary artefacts are individuated, rather indeterminately and arbitrarily, by reference to a parcel of matter so organised as to subserve a certain function.
     From: David Wiggins (Sameness and Substance [1980], 3.3)
9. Objects / D. Essence of Objects / 13. Nominal Essence
Nominal essences don't fix membership, ignore evolution, and aren't contextual [Wiggins]
     Full Idea: Nominal essences are unsatisfactory because they fail either of necessity or of sufficiency for membership of the intended kind, they leave unexplained how sortals can evolve, and there is no room for culture or context in our reference to kinds.
     From: David Wiggins (Sameness and Substance [1980], 3.1)
     A reaction: [a compression of a paragraph] I would have thought that Locke would just say it is tough luck if nominal essences can't do all these things, because that's just the way it is, folks.
9. Objects / E. Objects over Time / 1. Objects over Time
'What is it?' gives the kind, nature, persistence conditions and identity over time of a thing [Wiggins]
     Full Idea: The question 'what is it?' refers to the persistence and lifespan of an entity, and so manifests the identity over time of an entity and its persistence, between persistence and existence, and between its existence and being the kind of thing it is.
     From: David Wiggins (Sameness and Substance [1980], 2.1)
     A reaction: The idea that establishing the kind of a thing can do all this work strikes me as false. The lifespan of a 'human' can be between five minutes and a hundred years. Humans have a clear death, but thunderstorms don't.
9. Objects / E. Objects over Time / 7. Intermittent Objects
A restored church is the same 'church', but not the same 'building' or 'brickwork' [Wiggins]
     Full Idea: We can say of Hume's church that the present church is the same 'church' as the old parish church but not the same 'building' or the same 'stonework' as the old parish church.
     From: David Wiggins (Sameness and Substance [1980], 1.5)
     A reaction: Unconvinced. This seems to make a 'church' into an abstraction, which might even exist in the absence of any building. And it seems to identify a building with its stonework. Wiggins yearns for a neat solution, but it ain't here.
A thing begins only once; for a clock, it is when its making is first completed [Wiggins]
     Full Idea: A thing starts existing only once; and in the case of a clock its proper beginning was at about the time when its maker finished it.
     From: David Wiggins (Sameness and Substance [1980], 3.3)
     A reaction: I love the example that challenges this. Take the clock's parts and use them to make other clocks, then collect them up and reassemble the first clock. If the first clock has persisted through this, you have too many clocks. Wiggins spots some of this.
9. Objects / E. Objects over Time / 9. Ship of Theseus
Priests prefer the working ship; antiquarians prefer the reconstruction [Wiggins]
     Full Idea: Dispute might break out between priests who favoured the working ship and antiquarians who preferred the reconstruction.
     From: David Wiggins (Sameness and Substance [1980], 3.3)
     A reaction: This captures the contextual nature of the dispute very succinctly. Wiggins, of course, thinks that sortals will settle the matter. Fat chance.
9. Objects / F. Identity among Objects / 2. Defining Identity
Identity cannot be defined, because definitions are identities [Wiggins]
     Full Idea: Since any definition is an identity, identity itself cannot be defined.
     From: David Wiggins (Sameness and Substance [1980], 1.2 n7)
     A reaction: This sounds too good to be true! I can't think of an objection, so, okay, identity cannot possibly be defined. We can give synonyms for it, I suppose. [Wrong, says Rumfitt! Definitions can also be equivalences!]
Leibniz's Law (not transitivity, symmetry, reflexivity) marks what is peculiar to identity [Wiggins]
     Full Idea: The principle of Leibniz's Law marks off what is peculiar to identity and differentiates it in a way in which transitivity, symmetry and reflexivity (all shared by 'exact similarity, 'equality in pay', etc.) do not.
     From: David Wiggins (Sameness and Substance [1980], 1.2)
Identity is primitive [Wiggins]
     Full Idea: Identity is a primitive notion.
     From: David Wiggins (Sameness and Substance [1980], 2.1)
     A reaction: To be a true primitive it would have to be univocal, but it seems to me that 'identity' comes in degrees. The primitive concept is the minimal end of the degrees, but there are also more substantial notions of identity.
9. Objects / F. Identity among Objects / 6. Identity between Objects
A is necessarily A, so if B is A, then B is also necessarily A [Wiggins]
     Full Idea: The famous proof of Barcan Marcus about necessity of identity comes down to simply this: Hesperus is necessarily Hesperus, so if Phosphorus is Hesperus, Phosphorus is necessarily Hesperus.
     From: David Wiggins (Sameness and Substance [1980], 4.3)
     A reaction: Since the identity of Hesperus and Phosphorus was an a posteriori discovery, this was taken to be the inception of the idea that there are a posteriori necessities. The conclusion seems obvious. One thing is necessarily one thing.
9. Objects / F. Identity among Objects / 7. Indiscernible Objects
By the principle of Indiscernibility, a symmetrical object could only be half of itself! [Wiggins]
     Full Idea: The full Identity of Indiscernibles excludes the existence in this world of a symmetrical object, which is reduced to half of itself by the principle. If symmetrical about all planes that bisect it, it is precluded altogether from existence.
     From: David Wiggins (Sameness and Substance [1980], 2.2)
     A reaction: A really nice objection. Do the parts even need to be symmetrical? My eyeballs can't be identical to one another, presumably. Electrons already gave the principle big trouble.
9. Objects / F. Identity among Objects / 9. Sameness
We want to explain sameness as coincidence of substance, not as anything qualitative [Wiggins]
     Full Idea: The notion of sameness or identity that we are to elucidate is not that of any degree of qualitative similarity but of coincidence as a substance - a notion as primitive as predication.
     From: David Wiggins (Sameness and Substance [1980], Pre 2)
     A reaction: This question invites an approach to identity through our descriptions of it, rather than to the thing itself. There is no problem in ontology of two substances being 'the same', because they are just one substance.
10. Modality / D. Knowledge of Modality / 4. Conceivable as Possible / a. Conceivable as possible
It is hard or impossible to think of Caesar as not human [Wiggins]
     Full Idea: It is hard or impossible to conceive of Caesar's not being a man (human).
     From: David Wiggins (Sameness and Substance [1980], 4.5)
     A reaction: So is it 'hard' or is it 'impossible'? Older generations of philosophers simply didn't read enough science fiction. Any short story could feature Caesar's failure to be a man. His assassination was a disaster for the Martian invasion of 44 BCE.
13. Knowledge Criteria / E. Relativism / 5. Language Relativism
Our sortal concepts fix what we find in experience [Wiggins]
     Full Idea: What sortal concepts we can bring to bear upon experience determines what we can find there.
     From: David Wiggins (Sameness and Substance [1980], 5.6)
     A reaction: Wiggins would wince at being classed among linguistic relativists of the Sapir-Whorf type, but that's where I'm putting this idea. Wiggins is a realist, who knows there are things out there our concepts miss. He compares it to a fishing net. He's wrong.
18. Thought / D. Concepts / 2. Origin of Concepts / b. Empirical concepts
We conceptualise objects, but they impinge on us [Wiggins]
     Full Idea: The mind conceptualises objects, yet objects impinge upon the mind.
     From: David Wiggins (Sameness and Substance [1980], 3.5)
     A reaction: A very nice statement of the relationship, and the fact that we don't just make our concepts up.
18. Thought / D. Concepts / 4. Structure of Concepts / f. Theory theory of concepts
A 'conception' of a horse is a full theory of what it is (and not just the 'concept') [Wiggins]
     Full Idea: A 'conception' of horse is a theory of what a horse is, or what it is to be a horse. The conception is in no way the same as the concept. The conception is of the concept.
     From: David Wiggins (Sameness and Substance [1980], 3.1)
     A reaction: Wiggins sounds confident about a sharp distinction here, which I doubt, but some such distinction seems to required. I quite like Williams's 'fat' and 'thin' concepts.
22. Metaethics / B. Value / 2. Values / d. Health
Pythagoras taught that virtue is harmony, and health, and universal good, and God [Pythagoras, by Diog. Laertius]
     Full Idea: Pythagoras taught that virtue is harmony, and health, and universal good, and God.
     From: report of Pythagoras (reports [c.530 BCE]) by Diogenes Laertius - Lives of Eminent Philosophers 08.1.19
     A reaction: I like the link with health, because I consider that a bridge over the supposed fact-value gap. Very Pythagorean to think that virtue is harmony. Plato liked that thought.
23. Ethics / C. Virtue Theory / 3. Virtues / c. Justice
For Pythagoreans, justice is simply treating all people the same [Pythagoras, by Aristotle]
     Full Idea: Some even think that what is just is simple reciprocity, as the Pythagoreans maintained, because they defined justice simply as having done to one what one has done to another.
     From: report of Pythagoras (reports [c.530 BCE], 28) by Aristotle - Nicomachean Ethics 1132b22
     A reaction: One wonders what Pythagoreans made of slavery. Aristotle argues that officials, for example, have superior rights. The Pythagorean idea makes fairness the central aspect of justice, and that must at least be partly right.
26. Natural Theory / A. Speculations on Nature / 4. Mathematical Nature
Pythagoreans think mathematical principles are the principles of all of nature [Pythagoras, by Aristotle]
     Full Idea: The Pythagoreans thought that the principles of mathematical entities were the principles of all entities.
     From: report of Pythagoras (reports [c.530 BCE]) by Aristotle - Metaphysics 985b
Pythagoreans say things imitate numbers, but Plato says things participate in numbers [Pythagoras, by Aristotle]
     Full Idea: Pythagoreans said that entities existed by imitation of the numbers, whereas Plato said that it was by participation.
     From: report of Pythagoras (reports [c.530 BCE]) by Aristotle - Metaphysics 987b
When musical harmony and rhythm were discovered, similar features were seen in bodily movement [Pythagoras, by Plato]
     Full Idea: When our predecessors discovered musical scales, they also discovered similar features in bodily movement, which should also be measured numerically, and called 'tempos' and 'measures'.
     From: report of Pythagoras (reports [c.530 BCE]) by Plato - Philebus 17d
Pythagoreans define timeliness, justice and marriage in terms of numbers [Pythagoras, by Aristotle]
     Full Idea: The Pythagoreans offered definitions of a limited range of things on the basis of numbers; examples are timeliness, justice and marriage.
     From: report of Pythagoras (reports [c.530 BCE]) by Aristotle - Metaphysics 1078b
For Pythagoreans the entire universe is made of numbers [Pythagoras, by Aristotle]
     Full Idea: For Pythagoreans the entire universe is constructed of numbers.
     From: report of Pythagoras (reports [c.530 BCE]) by Aristotle - Metaphysics 1080b
29. Religion / D. Religious Issues / 2. Immortality / a. Immortality
The modern idea of an immortal soul was largely created by Pythagoras [Pythagoras, by Watson]
     Full Idea: The modern concept of the immortal soul is a Greek idea, which owes much to Pythagoras.
     From: report of Pythagoras (reports [c.530 BCE]) by Peter Watson - Ideas Ch.5
     A reaction: You can see why it caught on - it is a very appealing idea. Watson connects the 'modern' view with the ideas of heaven and hell. Obviously the idea of an afterlife goes a long way back (judging from the contents of ancient graves).