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Single Idea 3349
[filed under theme 12. Knowledge Sources / A. A Priori Knowledge / 5. A Priori Synthetic
]
Full Idea
Assume that we know to be true propositions of the form 'There are exactly x prime numbers between y and z', and synthetic a priori truths about Platonic objects are delivered to us on a silver platter.
Gist of Idea
If we know truths about prime numbers, we seem to have synthetic a priori knowledge of Platonic objects
Source
José A. Benardete (Metaphysics: the logical approach [1989], Ch.18)
Book Ref
Benardete,José A.: 'Metaphysics: The Logical Approach' [OUP 1989], p.139
The
26 ideas
with the same theme
[a priori knowledge which refers to the external world]:
3342
|
Seeing that only one parallel can be drawn to a line through a given point is clearly synthetic a priori
[Kant, by Benardete,JA]
|
20943
|
Kant bases the synthetic a priori on the categories of oneness and manyness
[Kant, by Bowie]
|
5402
|
Kant showed that we have a priori knowledge which is not purely analytic
[Kant, by Russell]
|
5203
|
We can think of 7 and 5 without 12, but it is still a contradiction to deny 7+5=12
[Ayer on Kant]
|
5527
|
That a straight line is the shortest is synthetic, as straight does not imply any quantity
[Kant]
|
5528
|
That force and counter-force are equal is necessary, and a priori synthetic
[Kant]
|
5529
|
The real problem of pure reason is: how are a priori synthetic judgments possible?
[Kant]
|
5537
|
That two lines cannot enclose a space is an intuitive a priori synthetic proposition
[Kant]
|
5546
|
Are a priori concepts necessary as a precondition for something to be an object?
[Kant]
|
5558
|
7+5=12 is not analytic, because 12 is not contained in 7 or 5 or their combination
[Kant]
|
5624
|
We possess synthetic a priori knowledge in our principles which anticipate experience
[Kant]
|
3726
|
The categorical imperative is a practical synthetic a priori proposition
[Kant]
|
16916
|
A priori synthetic knowledge is only of appearances, not of things in themselves
[Kant]
|
9225
|
Hegel reputedly claimed to know a priori that there are five planets
[Hegel, by Field,H]
|
23500
|
My main problem is the order of the world, and whether it is knowable a priori
[Wittgenstein]
|
23479
|
The Tractatus aims to reveal the necessities, without appealing to synthetic a priori truths
[Wittgenstein, by Morris,M]
|
23501
|
There is no a priori order of things
[Wittgenstein]
|
2619
|
Whether geometry can be applied to reality is an empirical question outside of geometry
[Ayer]
|
2513
|
We don't have a clear enough sense of meaning to pronounce some sentences meaningless or just analytic
[Katz]
|
2794
|
Knowing that a cow is not a horse seems to be a synthetic a priori truth
[Dancy,J]
|
3341
|
Logical positivism amounts to no more than 'there is no synthetic a priori'
[Benardete,JA]
|
3344
|
Assertions about existence beyond experience can only be a priori synthetic
[Benardete,JA]
|
3349
|
If we know truths about prime numbers, we seem to have synthetic a priori knowledge of Platonic objects
[Benardete,JA]
|
3345
|
Appeals to intuition seem to imply synthetic a priori knowledge
[Benardete,JA]
|
3887
|
Maybe our knowledge of truth and causation is synthetic a priori
[Scruton]
|
3876
|
If my team is losing 3-1, I have synthetic a priori knowledge that they need two goals for a draw
[PG]
|