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The main problem of the Critique
How do our understanding and the representations we receive conform?
There are certain principles which must be true, like the causal principle, but Kant must determine how we can know it
Descartes proposes that these principles are implanted in us by God to ensure perceptual conformity, but Kant rejects this explanation as a ‘deus ex machina’
Thus, certain principles aren’t known analytically, empirically, through makers knowledge (God knows these principles because he created them) or by some Deus ex machina
Therefore, we must be able to obtain synthetic a priori principles to derive things like causation
Syntheticity solves for the problem of causation not being true by definition and a prioricity gives the principle necessity
The a priori - a posteriori distinction
A priori - A posteriori:
Knowledge a posteriori is empirical and a priori if independent of experience — only a priori knowledge can be necessary (not contingent)
“There is no doubt that all our cognition begins with experience.” (B3)
It might be helpful to conceive of a priori knowledge as knowledge justified independently of experience (I don’t need to check empirically whether a bachelor is an unmarried man)
The analytic-synthetic distinction
A judgement is analytic if the predicate is contained (covertly) in the concept (the containment condition)
Analytic judgements are also subject to the law of non-contradiction
Synthetic judgements concern a predicate outside of the object-concept though still connected to it (Amplification)
“The arithmetical proposition is therefore always synthetic.” (B16)
Kant argues for a synthetic a priori (judgements which amplify our knowledge independent of experience), but not an analytic a posteriori
Kripke argues that to gain knowledge of a truth a posteriori doesn’t include the understanding of it which grants it necessity
The synthetic a priori effectively becomes the self-knowledge of the conditions of possible experience
The objectivity problem
There is no objective way to determine what a person thinks is already contained in the concept, which isn’t solved by the contradiction test
It seems possible that different people could have different concepts of the same object entailing some sort of psychological dependence
“the predicate of an affirmative analytic judgement is already thought beforehand in the concept of the subject.” (4:267)
Schultz and Van Cleve both suggest that these people merely have two different concepts, but this is unsatisfying given the referent of the concept is the same
Concept legitimacy
For a concept to be legitimate, it must have objective reality whereby an attribute belongs to the concept along with other attributes without depending on these other attributes
A concept must be exhibitable in intuition or obtainable from experience to be legitimate, the determination of which Kant thinks is a necessarily synthetic move
‘Objective reality’ pertains to a form of possibility in between logical possibility (law of contradiction) and nomological possibility (as governed by the laws of nature)
Quine on synonymy
To describe something as analytic is to say that a proposition restates itself (i.e., the two statements/expressions are synonymous, such as a=a)
Quine argues that synonymy is only explicable with regard to analyticity, meaning it is presupposed and circular for any such definition
Even then, somethings are relationally defined, like left and right — it is also not obvious that analyticity is mysterious or needs well defining