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Single Idea 6561
[filed under theme 2. Reason / B. Laws of Thought / 3. Non-Contradiction
]
Full Idea
It is impossible for the same thing at the same time both to be-in and not to be-in the same thing in the same respect.
Gist of Idea
A thing cannot be both in and not-in the same thing (at a given time)
Source
Aristotle (Metaphysics [c.324 BCE], 1005b19)
Book Ref
Aristotle: 'Metaphysics', ed/tr. Lawson-Tancred,Hugh [Penguin 1998], p.88
A Reaction
Aristotle is really discussing non-contradiction here, but this formulation is very close to Leibniz's Law (that two identical things must have identical properties).
The
22 ideas
with the same theme
[a proposition is claimed to be both true and false]:
12268
|
Contradiction is impossible
[Antisthenes (I), by Aristotle]
|
23917
|
Contrary statements can both be reasonable, if they are meant in two different ways
[Aristotle]
|
6561
|
A thing cannot be both in and not-in the same thing (at a given time)
[Aristotle]
|
11281
|
We cannot say that one thing both is and is not a man
[Aristotle]
|
1602
|
For Aristotle predication is regulated by Non-Contradiction, because underlying stability is essential
[Roochnik on Aristotle]
|
1601
|
The most certain basic principle is that contradictories can't be true at the same time
[Aristotle]
|
11282
|
Aristotle does not take the principle of non-contradiction for granted
[Aristotle, by Politis]
|
9108
|
From an impossibility anything follows
[William of Ockham]
|
15616
|
If truth is just non-contradiction, we must take care that our basic concepts aren't contradictory
[Hegel]
|
21983
|
Being and nothing are the same and not the same, which is the identity of identity and non-identity
[Hegel]
|
21985
|
The so-called world is filled with contradiction
[Hegel]
|
14787
|
Self-contradiction doesn't reveal impossibility; it is inductive impossibility which reveals self-contradiction
[Peirce]
|
4531
|
Our inability to both affirm and deny a single thing is merely an inability, not a 'necessity'
[Nietzsche]
|
22642
|
Man has an intense natural interest in the consistency of his own thinking
[James]
|
17632
|
Non-contradiction was learned from instances, and then found to be indubitable
[Russell]
|
6566
|
The problem is to explain the role of contradiction in social life
[Wittgenstein]
|
9023
|
If you say that a contradiction is true, you change the meaning of 'not', and so change the subject
[Quine]
|
6564
|
To affirm 'p and not-p' is to have mislearned 'and' or 'not'
[Quine]
|
9123
|
Someone standing in a doorway seems to be both in and not-in the room
[Priest,G, by Sorensen]
|
4633
|
You cannot rationally deny the principle of non-contradiction, because all reasoning requires it
[Baggini /Fosl]
|
6565
|
The law of noncontradiction makes the distinction between asserting something and denying it
[Fogelin]
|
19656
|
Non-contradiction is unjustified, so it only reveals a fact about thinking, not about reality?
[Meillassoux]
|