Kant and Descartes argued that math contributed to knowledge through showing that scientific knowledge is possible. They worked to unify Rationalism and Empiricism to prove their argument. Math and logic contributed to reasoning and experience that contributes to the right knowledge. The knowledge work to refute the scepticism of who claimed that experience (Kant and Descartes 1). There are various truths that Kant and Descartes wanted to show which relates to mathematics. These truths also apply to experiences like sense and impression possible in a person. Also, the truth revealed that scientific knowledge which is linked to math and logic is universal and necessary. In addition, the metaphysics of Kant and Descartes are revealed in their attempt to show how scientific knowledge is possible.
Kant and Descartes made clear that the math and logic truths are independent of experience. Likewise, to bring out the aspect of knowledge, they clarified that truth is based on experience and contingent analytic judgement. It is evident that judgment is made under the clear knowledge whereby the concept of the predicate term is not found in the concept of the subject term (Kant and Descartes 1). Additionally, Kant and Descartes showed how synthetic prior truths are possible under acquired knowledge. It was true that knowledge has to be understood in terms both intuitions- which is before us through perception and reason which is the way one’s mind is bound to organize perception with the aim of becoming an object of experience. The two clarified that math and logic contribute to a person acquiring knowledge and make logic judgements. Generally, a form of intuition like space includes; spatial relations of geometry and outer form while time are accompanied by the linear succession of the arithmetic and inner form of both math and logic. On the other side, various forms of judgement like Aristotle’s logic are necessary pre-conditions for any possible thought in a person’s mind.
According to Kant and Descartes, there are twelve forms of judgment as deduced in various categories of experience. However, in matters of knowledge, the most important of these categories are those of the relations (Kant and Descartes 1). The reason as to why these categories are important is because; they handle matters related to substance and property, casualty and dependence. Also, these categories are the necessary preconditions for the kind of knowledge which was exemplified by Newton’s scientific knowledge. Both math and logic are contributions of the speculative reason of knowledge, and both synthetic. The laws of math and logic are necessary for any thought, and the speculative reason is the faculty of knowledge while practical reasoning is categorized in the faculty of choice.
Math and logic bring out the required reasoning which is a parallel between domains of speculative reason. Additionally, under the influence of knowledge, a person can know that speculative reason lies in the categories of the Metaphysics of Nature, and generalization from experience appearances (Kant and Descartes 1). Math and logic bring out the knowledge in respect to speculative reason, to show how knowledge is possible.
Kant, Immanuel and Descartes. Immanuel Kant: Metaphysics. IEP. n.d. Retrieved from http://www.iep.utm.edu/kantmeta/. On March 3rd 2016