Combining Texts

All the ideas for 'Parmenides', 'The Science of Knowing (Wissenschaftslehre) [1st ed]' and 'On the Heavens'

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61 ideas

2. Reason / A. Nature of Reason / 1. On Reason
When questions are doubtful we should concentrate not on objects but on ideas of the intellect [Plato]
     Full Idea: Doubtful questions should not be discussed in terms of visible objects or in relation to them, but only with reference to ideas conceived by the intellect.
     From: Plato (Parmenides [c.364 BCE], 135e)
2. Reason / A. Nature of Reason / 5. Objectivity
Fichte's subjectivity struggles to then give any account of objectivity [Pinkard on Fichte]
     Full Idea: For Fichte 'subjectivity' came first, and he was then stuck with the (impossible) task of showing how 'objectivity' arose out of it.
     From: comment on Johann Fichte (The Science of Knowing (Wissenschaftslehre) [1st ed] [1794]) by Terry Pinkard - German Philosophy 1760-1860 06
     A reaction: The best available answer to this problem (for idealists) is, I think, Nietzsche's perspectives, in which multiple subjectivities are summed to produce a blurred picture which has a degree of consensus. Fichte later embraced other minds.
2. Reason / A. Nature of Reason / 9. Limits of Reason
A very hungry man cannot choose between equidistant piles of food [Aristotle]
     Full Idea: The man who, though exceedingly hungry and thirsty, and both equally, yet being equidistant from food and drink, is therefore bound to stay where he is.
     From: Aristotle (On the Heavens [c.336 BCE], 296b33)
     A reaction: This is, of course, Buridan's famous Ass, but this quotation has the advantage of precedence, and also of being expressed in an original quotation (which does not exist for Buridan).
2. Reason / B. Laws of Thought / 5. Opposites
Opposites are as unlike as possible [Plato]
     Full Idea: Opposites are as unlike as possible.
     From: Plato (Parmenides [c.364 BCE], 159a)
2. Reason / C. Styles of Reason / 1. Dialectic
Plato's 'Parmenides' is the greatest artistic achievement of the ancient dialectic [Hegel on Plato]
     Full Idea: Plato's 'Parmenides' is the greatest artistic achievement of the ancient dialectic.
     From: comment on Plato (Parmenides [c.364 BCE]) by Georg W.F.Hegel - Phenomenology of Spirit Pref 71
     A reaction: It is a long way from the analytic tradition of philosophy to be singling out a classic text for its 'artistic' achievement. Eventually we may even look back on, say, Kripke's 'Naming and Necessity' and see it in that light.
5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / c. not
Normativity needs the possibility of negation, in affirmation and denial [Fichte, by Pinkard]
     Full Idea: To adopt any kind of normative stance is to commit oneself necessarily to the possibility of negation. It involves doing something correctly or incorrectly, so there must exist the possibility of denying or affirming.
     From: report of Johann Fichte (The Science of Knowing (Wissenschaftslehre) [1st ed] [1794]) by Terry Pinkard - German Philosophy 1760-1860 05
     A reaction: This seems to be the key idea for understanding Hegel's logic. Personally I think animals have a non-verbal experience of negation - when a partner dies, for example.
5. Theory of Logic / L. Paradox / 3. Antinomies
Plato found antinomies in ideas, Kant in space and time, and Bradley in relations [Plato, by Ryle]
     Full Idea: Plato (in 'Parmenides') shows that the theory that 'Eide' are substances, and Kant that space and time are substances, and Bradley that relations are substances, all lead to aninomies.
     From: report of Plato (Parmenides [c.364 BCE]) by Gilbert Ryle - Are there propositions? 'Objections'
Plato's 'Parmenides' is perhaps the best collection of antinomies ever made [Russell on Plato]
     Full Idea: Plato's 'Parmenides' is perhaps the best collection of antinomies ever made.
     From: comment on Plato (Parmenides [c.364 BCE]) by Bertrand Russell - The Principles of Mathematics §337
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism
One is, so numbers exist, so endless numbers exist, and each one must partake of being [Plato]
     Full Idea: If one is, there must also necessarily be number - Necessarily - But if there is number, there would be many, and an unlimited multitude of beings. ..So if all partakes of being, each part of number would also partake of it.
     From: Plato (Parmenides [c.364 BCE], 144a)
     A reaction: This seems to commit to numbers having being, then to too many numbers, and hence to too much being - but without backing down and wondering whether numbers had being after all. Aristotle disagreed.
7. Existence / A. Nature of Existence / 3. Being / c. Becoming
The one was and is and will be and was becoming and is becoming and will become [Plato]
     Full Idea: The one was and is and will be and was becoming and is becoming and will become.
     From: Plato (Parmenides [c.364 BCE], 155d)
7. Existence / A. Nature of Existence / 3. Being / f. Primary being
Plato's Parmenides has a three-part theory, of Primal One, a One-Many, and a One-and-Many [Plato, by Plotinus]
     Full Idea: The Platonic Parmenides is more exact [than Parmenides himself]; the distinction is made between the Primal One, a strictly pure Unity, and a secondary One which is a One-Many, and a third which is a One-and-Many.
     From: report of Plato (Parmenides [c.364 BCE]) by Plotinus - The Enneads 5.1.08
     A reaction: Plotinus approves of this three-part theory. Parmenides has the problem that the highest Being contains no movement. By placing the One outside Being you can give it powers which an existent thing cannot have. Cf the concept of God.
7. Existence / D. Theories of Reality / 3. Reality
Absolute ideas, such as the Good and the Beautiful, cannot be known by us [Plato]
     Full Idea: The absolute good and the beautiful and all which we conceive to be absolute ideas are unknown to us.
     From: Plato (Parmenides [c.364 BCE], 134c)
8. Modes of Existence / D. Universals / 2. Need for Universals
You must always mean the same thing when you utter the same name [Plato]
     Full Idea: You must always mean the same thing when you utter the same name.
     From: Plato (Parmenides [c.364 BCE], 147d)
If you deny that each thing always stays the same, you destroy the possibility of discussion [Plato]
     Full Idea: If a person denies that the idea of each thing is always the same, he will utterly destroy the power of carrying on discussion.
     From: Plato (Parmenides [c.364 BCE], 135c)
8. Modes of Existence / D. Universals / 6. Platonic Forms / a. Platonic Forms
It would be absurd to think there were abstract Forms for vile things like hair, mud and dirt [Plato]
     Full Idea: Are there abstract ideas for such things as hair, mud and dirt, which are particularly vile and worthless? That would be quite absurd.
     From: Plato (Parmenides [c.364 BCE], 130d)
The concept of a master includes the concept of a slave [Plato]
     Full Idea: Mastership in the abstract is mastership of slavery in the abstract.
     From: Plato (Parmenides [c.364 BCE], 133e)
If admirable things have Forms, maybe everything else does as well [Plato]
     Full Idea: It is troubling that if admirable things have abstract ideas, then perhaps everything else must have ideas as well.
     From: Plato (Parmenides [c.364 BCE], 130d)
If absolute ideas existed in us, they would cease to be absolute [Plato]
     Full Idea: None of the absolute ideas exists in us, because then it would no longer be absolute.
     From: Plato (Parmenides [c.364 BCE], 133c)
Greatness and smallness must exist, to be opposed to one another, and come into being in things [Plato]
     Full Idea: These two ideas, greatness and smallness, exist, do they not? For if they did not exist, they could not be opposites of one another, and could not come into being in things.
     From: Plato (Parmenides [c.364 BCE], 149e)
Plato moves from Forms to a theory of genera and principles in his later work [Plato, by Frede,M]
     Full Idea: It seems to me that Plato in the later dialogues, beginning with the second half of 'Parmenides', wants to substitute a theory of genera and theory of principles that constitute these genera for the earlier theory of forms.
     From: report of Plato (Parmenides [c.364 BCE]) by Michael Frede - Title, Unity, Authenticity of the 'Categories' V
     A reaction: My theory is that the later Plato came under the influence of the brilliant young Aristotle, and this idea is a symptom of it. The theory of 'principles' sounds like hylomorphism to me.
8. Modes of Existence / D. Universals / 6. Platonic Forms / b. Partaking
Participation is not by means of similarity, so we are looking for some other method of participation [Plato]
     Full Idea: Participation is not by means of likeness, so we must seek some other method of participation.
     From: Plato (Parmenides [c.364 BCE], 133a)
The whole idea of each Form must be found in each thing which participates in it [Plato]
     Full Idea: The whole idea of each form (of beauty, justice etc) must be found in each thing which participates in it.
     From: Plato (Parmenides [c.364 BCE], 131a)
Each idea is in all its participants at once, just as daytime is a unity but in many separate places at once [Plato]
     Full Idea: Just as day is in many places at once, but not separated from itself, so each idea might be in all its participants at once.
     From: Plato (Parmenides [c.364 BCE], 131b)
If things are made alike by participating in something, that thing will be the absolute idea [Plato]
     Full Idea: That by participation in which like things are made like, will be the absolute idea, will it not?
     From: Plato (Parmenides [c.364 BCE], 132e)
If things partake of ideas, this implies either that everything thinks, or that everything actually is thought [Plato]
     Full Idea: If all things partake of ideas, must either everything be made of thoughts and everything thinks, or everything is thought, and so can't think?
     From: Plato (Parmenides [c.364 BCE], 132c)
8. Modes of Existence / D. Universals / 6. Platonic Forms / c. Self-predication
Nothing can be like an absolute idea, because a third idea intervenes to make them alike (leading to a regress) [Plato]
     Full Idea: It is impossible for anything to be like an absolute idea, because a third idea will appear to make them alike, and if that is like anything, it will lead to another idea, and so on.
     From: Plato (Parmenides [c.364 BCE], 133a)
If absolute greatness and great things are seen as the same, another thing appears which makes them seem great [Plato]
     Full Idea: If you regard the absolute great and the many great things in the same way, will not another appear beyond, by which all these must appear to be great?
     From: Plato (Parmenides [c.364 BCE], 132a)
9. Objects / B. Unity of Objects / 1. Unifying an Object / b. Unifying aggregates
Parts must belong to a created thing with a distinct form [Plato]
     Full Idea: The part would not be the part of many things or all, but of some one character ['ideas'] and of some one thing, which we call a 'whole', since it has come to be one complete [perfected] thing composed [created] of all.
     From: Plato (Parmenides [c.364 BCE], 157d)
     A reaction: A serious shot by Plato at what identity is. Harte quotes it (125) and shows that 'character' is Gk 'idea', and 'composed' will translate as 'created'. 'Form' links this Platonic passage to Aristotle's hylomorphism.
9. Objects / C. Structure of Objects / 5. Composition of an Object
In Parmenides, if composition is identity, a whole is nothing more than its parts [Plato, by Harte,V]
     Full Idea: At the heart of the 'Parmenides' puzzles about composition is the thesis that composition is identity. Considered thus, a whole adds nothing to an ontology that already includes its parts
     From: report of Plato (Parmenides [c.364 BCE]) by Verity Harte - Plato on Parts and Wholes 2.5
     A reaction: There has to be more to a unified identity that mere proximity of the parts. When do parts come together, and when do they actually 'compose' something?
9. Objects / C. Structure of Objects / 8. Parts of Objects / a. Parts of objects
Plato says only a one has parts, and a many does not [Plato, by Harte,V]
     Full Idea: In 'Parmenides' it is argued that a part cannot be part of a many, but must be part of something one.
     From: report of Plato (Parmenides [c.364 BCE], 157c) by Verity Harte - Plato on Parts and Wholes 3.2
     A reaction: This looks like the right way to go with the term 'part'. We presuppose a unity before we even talk of its parts, so we can't get into contradictions and paradoxes about their relationships.
Anything which has parts must be one thing, and parts are of a one, not of a many [Plato]
     Full Idea: The whole of which the parts are parts must be one thing composed of many; for each of the parts must be part, not of a many, but of a whole.
     From: Plato (Parmenides [c.364 BCE], 157c)
     A reaction: This is a key move of metaphysics, and we should hang on to it. The other way madness lies.
9. Objects / C. Structure of Objects / 8. Parts of Objects / c. Wholes from parts
It seems that the One must be composed of parts, which contradicts its being one [Plato]
     Full Idea: The One must be composed of parts, both being a whole and having parts. So on both grounds the One would thus be many and not one. But it must be not many, but one. So if the One will be one, it will neither be a whole, nor have parts.
     From: Plato (Parmenides [c.364 BCE], 137c09), quoted by Kathrin Koslicki - The Structure of Objects 5.2
     A reaction: This is the starting point for Plato's metaphysical discussion of objects. It seems to begin a line of thought which is completed by Aristotle, surmising that only an essential structure can bestow identity on a bunch of parts.
9. Objects / F. Identity among Objects / 6. Identity between Objects
Two things relate either as same or different, or part of a whole, or the whole of the part [Plato]
     Full Idea: Everything is surely related to everything as follows: either it is the same or different; or, if it is not the same or different, it would be related as part to whole or as whole to part.
     From: Plato (Parmenides [c.364 BCE], 146b)
     A reaction: This strikes me as a really helpful first step in trying to analyse the nature of identity. Two things are either two or (actually) one, or related mereologically.
10. Modality / C. Sources of Modality / 4. Necessity from Concepts
Necessary truths derive from basic assertion and negation [Fichte, by Pinkard]
     Full Idea: Fichte thought that everything that involves necessary truths - even mathematics and logic - should be shown to follow from the more basic principles involved in assertion and negation.
     From: report of Johann Fichte (The Science of Knowing (Wissenschaftslehre) [1st ed] [1794]) by Terry Pinkard - German Philosophy 1760-1860 05
     A reaction: An interesting proposal, though I am struggling to see how it works. Fichte sees assertion and negation as foundational (Idea 22017), but I take them to be responses to the real world.
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / b. Transcendental idealism
Fichte's logic is much too narrow, and doesn't deduce ethics, art, society or life [Schlegel,F on Fichte]
     Full Idea: Only Fichte's principles are deduced in his book, that is, the logical ones, and not even these completely. And what about the practical, the moral and ethical ones. Society, learning, wit, art, and so on are also entitled to be deduced here.
     From: comment on Johann Fichte (The Science of Knowing (Wissenschaftslehre) [1st ed] [1794]) by Friedrich Schlegel - works Vol 18 p.34
     A reaction: This is the beginnings of the romantic rebellion against a rather narrowly rationalist approach to philosophy. Schlegel also objects to the fact that Fichte only had one axiom (presumably the idea of the not-Self).
11. Knowledge Aims / C. Knowing Reality / 3. Idealism / d. Absolute idealism
Fichte's key claim was that the subjective-objective distinction must itself be subjective [Fichte, by Pinkard]
     Full Idea: Fichte's key claim was that the difference between the subjective and the objective points of view had to be itself a subjective distinction, something that the 'I' posits.
     From: report of Johann Fichte (The Science of Knowing (Wissenschaftslehre) [1st ed] [1794]) by Terry Pinkard - German Philosophy 1760-1860 09
     A reaction: This seems to lock us firmly into the idealist mental prison and throw away the key.
15. Nature of Minds / A. Nature of Mind / 4. Other Minds / a. Other minds
We only see ourselves as self-conscious and rational in relation to other rationalities [Fichte]
     Full Idea: A rational creature cannot posit itself as such a creature with self-consciousness without positing itself as an individual, as one among many rational creatures.
     From: Johann Fichte (The Science of Knowing (Wissenschaftslehre) [1st ed] [1794], p.8), quoted by Terry Pinkard - German Philosophy 1760-1860 05 n25
     A reaction: [1796 book about his Wissenschaftlehre] This is the transcendental (Kantian) approach to other minds. Wittgenstein's private language argument is similar. Hegel was impressed by this idea (I think).
16. Persons / B. Nature of the Self / 4. Presupposition of Self
The Self is the spontaneity, self-relatedness and unity needed for knowledge [Fichte, by Siep]
     Full Idea: According to Fichte, spontaneity, self-relatedness, and unity are the basic traits of knowledge (which includes conscience). ...This principle of all knowledge is what he calls the 'I' or the Self.
     From: report of Johann Fichte (The Science of Knowing (Wissenschaftslehre) [1st ed] [1794]) by Ludwig Siep - Fichte p.58
     A reaction: This is the idealist view. He gets 'spontaneity' from Kant, which is the mind's contribution to experience. Self-relatedness is the distinctive Fichte idea. Unity presumably means total coherence, which is typical of idealists.
Novalis sought a much wider concept of the ego than Fichte's proposal [Novalis on Fichte]
     Full Idea: Novalis aimed to create a theory of the ego with a much wider scope than Fichte's doctrine of knowledge had been able to establish. ....Without philosophy, imperfect poet - without poetry, imperfect thinker.
     From: comment on Johann Fichte (The Science of Knowing (Wissenschaftslehre) [1st ed] [1794]) by Novalis - Logological Fragments I vol.3 p.531
     A reaction: [in his 'Fichte Studies] Since this is at the heart of early romanticism, I take the concept to embrace nature, as well as creative imagination. There is a general rebellion against the narrowness of Fichte.
The self is not a 'thing', but what emerges from an assertion of normativity [Fichte, by Pinkard]
     Full Idea: Fichte said the self is not a natural 'thing' but is itself a normative status, and 'it' can obtain this status, so it seems, only by an act of attributing it to itself. ...He continually identified the 'I' with 'reason' itself.
     From: report of Johann Fichte (The Science of Knowing (Wissenschaftslehre) [1st ed] [1794]) by Terry Pinkard - German Philosophy 1760-1860 05
     A reaction: Pinkard says Fichte gradually qualified this claim. Fichte struggled to state his view in a way that avoided obvious paradoxes. 'My mind produces decisions, so there must be someone in charge of them'? Is this transcendental?
16. Persons / B. Nature of the Self / 6. Self as Higher Awareness
Consciousness of an object always entails awareness of the self [Fichte]
     Full Idea: I can be conscious of any object only on the condition that I am also conscious of myself, that is, of the conscious subject. This proposition is incontrovertible.
     From: Johann Fichte (The Science of Knowing (Wissenschaftslehre) [1st ed] [1794], p.112), quoted by Terry Pinkard - German Philosophy 1760-1860 05
     A reaction: [from the 1797/8 version of Wissenschaftslehre] Russell might be cross to find that his idea on this was anticipated by Fichte. I still approve of the idea.
18. Thought / A. Modes of Thought / 6. Judgement / a. Nature of Judgement
Judgement is distinguishing concepts, and seeing their relations [Fichte, by Siep]
     Full Idea: For Fichte, to judge means to distinguish concepts from one another and to place them in relationship to one another.
     From: report of Johann Fichte (The Science of Knowing (Wissenschaftslehre) [1st ed] [1794]) by Ludwig Siep - Fichte p.59
     A reaction: This idea of Fichte's seems to be the key one for Hegel, and hence (I presume) it is the lynchpin of German Idealism. It seems to describe mathematical knowledge quite well. I don't think it fits judging whether there is a snake in the grass.
22. Metaethics / B. Value / 1. Nature of Value / d. Subjective value
Fichte's idea of spontaneity implied that nothing counts unless we give it status [Fichte, by Pinkard]
     Full Idea: Fichte placed emphasis on human spontaneity, on nothing 'counting' for us unless we somehow bestowed some kind of status on it.
     From: report of Johann Fichte (The Science of Knowing (Wissenschaftslehre) [1st ed] [1794]) by Terry Pinkard - German Philosophy 1760-1860 06
     A reaction: This idea evidentally arises from Kant's account of thought. Pinkard says this idea inspired the early Romantics. I would have thought the drive to exist (Spinoza's conatus) would make things count whether we liked it or not.
22. Metaethics / B. Value / 2. Values / b. Successful function
Each thing that has a function is for the sake of that function [Aristotle]
     Full Idea: Each thing that has a function is for the sake of that function.
     From: Aristotle (On the Heavens [c.336 BCE], 286a08)
     A reaction: This is the central idea of Aristotle's Ethics. Did it originate with Plato, or Socrates, the young pupil Aristotle? I suspect the strong influence of Aristotle on later Plato. A major idea. Functions link the facts to life.
25. Social Practice / E. Policies / 5. Education / c. Teaching
Only a great person can understand the essence of things, and an even greater person can teach it [Plato]
     Full Idea: Only a man of very great natural gifts will be able to understand that everything has a class and absolute essence, and an even more wonderful man can teach this.
     From: Plato (Parmenides [c.364 BCE], 135a)
26. Natural Theory / A. Speculations on Nature / 1. Nature
Fichte reduces nature to a lifeless immobility [Schlegel,F on Fichte]
     Full Idea: Fichte reduces the non-Ego or nature to a state of constant calm, standstill, immobility, lack of all change, movement and life, that is death.
     From: comment on Johann Fichte (The Science of Knowing (Wissenschaftslehre) [1st ed] [1794]) by Friedrich Schlegel - works vol 12 p.190
     A reaction: The point is that Fichte's nature is a merely logical or conceptual deduction from the spontaneous reason of the self, so it can't have the lively diversity we find in nature.
26. Natural Theory / A. Speculations on Nature / 2. Natural Purpose / a. Final purpose
An unworn sandal is in vain, but nothing in nature is in vain [Aristotle]
     Full Idea: We say of a sandal which is not worn that it is in vain; God and nature, however, do nothing in vain.
     From: Aristotle (On the Heavens [c.336 BCE], 271a33)
There has to be some goal, and not just movement to infinity [Aristotle]
     Full Idea: There has to be some goal, and not just movement to infinity.
     From: Aristotle (On the Heavens [c.336 BCE], 277a26)
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / d. The unlimited
The unlimited has no shape and is endless [Plato]
     Full Idea: The unlimited partakes neither of the round nor of the straight, because it has no ends nor edges.
     From: Plato (Parmenides [c.364 BCE], 137e)
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / e. The One
Some things do not partake of the One [Plato]
     Full Idea: The others cannot partake of the one in any way; they can neither partake of it nor of the whole.
     From: Plato (Parmenides [c.364 BCE], 159d)
     A reaction: Compare Idea 231
The only movement possible for the One is in space or in alteration [Plato]
     Full Idea: If the One moves it either moves spatially or it is altered, since these are the only motions.
     From: Plato (Parmenides [c.364 BCE], 138b)
Everything partakes of the One in some way [Plato]
     Full Idea: The others are not altogether deprived of the one, for they partake of it in some way.
     From: Plato (Parmenides [c.364 BCE], 157c)
     A reaction: Compare Idea 233.
26. Natural Theory / A. Speculations on Nature / 6. Early Matter Theories / f. Ancient elements
Aether moves in circles and is imperishable; the four elements perish, and move in straight lines [Aristotle, by Gill,ML]
     Full Idea: For Aristotle, aether and the four sublunary elements obey different physical laws. Aether moves naturally in a circle and, unlike its lower counterparts, is not a source of perishability. The four sublunary elements move naturally in straight lines.
     From: report of Aristotle (On the Heavens [c.336 BCE]) by Mary Louise Gill - Aristotle on Substance Ch.2
     A reaction: I think it is anachronistic for Gill to talk of 'obeying' and 'laws'. She should have said that they have different 'natures'. We can be amused by Greek errors, until we stare hard at the problems they were trying to solve.
An element is what bodies are analysed into, and won't itself divide into something else [Aristotle]
     Full Idea: An element is a body into which other bodies may be analyzed, present in them potentially or in actuality (which of these is still disputable), and not itself divisible into bodies different in form. That is what all men mean by element.
     From: Aristotle (On the Heavens [c.336 BCE], 302a05), quoted by Weisberg/Needham/Hendry - Philosophy of Chemistry 1.1
     A reaction: This is the classic definition of an element, which endured for a long time, and has been replaced by an 'actual components' view. Obviously analysis nowadays goes well beyond the atoms.
27. Natural Reality / A. Classical Physics / 1. Mechanics / a. Explaining movement
If the more you raise some earth the faster it moves, why does the whole earth not move? [Aristotle]
     Full Idea: If you raise some earth and release it, it moves and won't stay put, and the more you raise it the faster it moves, so why does the whole earth not move?
     From: Aristotle (On the Heavens [c.336 BCE], 294a12)
27. Natural Reality / C. Space / 1. Void
Void is a kind of place, so it can't explain place [Aristotle]
     Full Idea: It is absurd to explain place by the void, as though this latter were not itself some kind of place.
     From: Aristotle (On the Heavens [c.336 BCE], 309b24)
     A reaction: Presumably this is aimed at Democritus.
27. Natural Reality / E. Cosmology / 1. Cosmology
The earth must be round and of limited size, because moving north or south makes different stars visible [Aristotle]
     Full Idea: Clearly the earth is round and not of great size, because when we move north or south we find that very different stars are visible.
     From: Aristotle (On the Heavens [c.336 BCE], 297b30)
The Earth must be spherical, because it casts a convex shadow on the moon [Aristotle]
     Full Idea: A lunar eclipse always has a convex dividing line, so, if it is eclipsed by the interposition of the earth, the circumference of the earth, being spherical, is responsible for the shape.
     From: Aristotle (On the Heavens [c.336 BCE], 297b29)
27. Natural Reality / E. Cosmology / 3. The Beginning
Everyone agrees that the world had a beginning, but thinkers disagree over whether it will end [Aristotle]
     Full Idea: All thinkers agree that the world had a beginning, but some claim that, having come into existence, it is everlasting.
     From: Aristotle (On the Heavens [c.336 BCE], 279b12)
27. Natural Reality / E. Cosmology / 10. Multiverse
It seems possible that there exists a limited number of other worlds apart from this one [Aristotle]
     Full Idea: One might indeed be puzzled whether, just as the world about us exists, nothing prevents there being others as well, certainly more than one, though not an unlimited number
     From: Aristotle (On the Heavens [c.336 BCE], 274a26)
28. God / B. Proving God / 2. Proofs of Reason / a. Ontological Proof
We couldn't discuss the non-existence of the One without knowledge of it [Plato]
     Full Idea: There must be knowledge of the one, or else not even the meaning of the words 'if the one does not exist' would be known.
     From: Plato (Parmenides [c.364 BCE], 160d)