Compare and contrast proof and probability. (10 marks)

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Compare and contrast proof and probability. (10 marks)

Proof derives from a priori grounds which are deductive. A priori is based on solid facts and logic so there is only one possible conclusion. “An argument which starts from one or more premises, which are prepositions taken for granted for the purpose of the argument, and argues to a conclusion” (Swinburne). In mathematics and logic, a statement is proven if it cannot be proven to be false. For example, 1+1=2 cannot be incorrect as it abides the laws of mathematics. The statement is proven if it is beyond reasonable doubt and there is no evidence to prove otherwise. Deductive arguments are difficult to attain as the premises are hard to establish.

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On the other hand, probability develops from a posteriori grounds which are inductive. “a proposition is probable not in isolation, but in relation to other, evidence stating from propositions” (Hick).  A posteriori relies on our senses rather than on facts which causes there to be many possible conclusions; the most probable answer is taken as the conclusion. The inductivity of a posteriori arguments always leaves a door for doubt and uncertainty. Probability measures the likelihood of a conclusion to be true; the most probable answer however is not the only conclusion.

A problem with proofs is the ...

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