Object Absolutism: Implications for Empiricist and Psychologist Epistemology of Mathematical Statements
DOI:
https://doi.org/10.31150/ajshr.v4i3.2089Keywords:
Object, Absolutism, Subjectivism, Epistemology, Mathematical Statements, Foundations, KnowledgeAbstract
The study presented in this paper was conducted to ascertain the extent to which object absolutism as a theoretical presupposition affects the epistemology of mathematical statements as presented by empiricists and psychologists in the philosophy of mathematics. To achieve this objective, the method of content analysis was adopted for the study. The two schools above were randomly selected from the schools in the philosophy of mathematics. It was discovered in the course of the study that objects absolutism, as an exclusivist theoretical assumption, berates the contributions of the cognitive subject to knowledge claims and therefore promotes skepticism if empiricism were validated and solipsism if psychologism were adopted as foundations of mathematical statements. Hence, it was concluded that the way out of the quagmire created by object absolutism is to promote a foundational analysis that investigates the foundations of knowledge by presupposing knowing.
References
Home, D. (1997). Lexicon Universal Encyclopedia, Volume 7. New York: Lexicon Publications. P.159.
Korner, S. (1971). The Philosophy of Mathematics: An Introduction. London: Hutchinson and Company.
Lehman, H. (1979). Introduction of the Philosophy of Mathematics. Oxford: Bail Blackwell.
Mill, J.S. (1950). Mill’s Philosophy of Scientific Method. Ed. Ernest Nagel. NewYork: Hafner Publishing Company.
Ozumba, G.O (2001). The Philosophy of Logical Positivism and the Growth of Science. Calabar: Bacos Publications.
Resnik, M. (1980). Frege and the Philosophy of Mathematics. London: Cornell University Press.
Russell, B. (1992). The Principles of Mathematics. London: Routledge.
Stumpf, S.E. (1982). Socrates to Sartre: A History of Philosophy. 3rd ed. New York: McGraw-Hill.
Wittgenstein, L. (1993). Philosophical Investigation. Cambridge: Basil Blackwell.
