Kant'ın Aritmetik Teorisi

Kant’ın aritmetik teorisi hem genel matematik felsefesi hem de eleştirel felsefenin anlaşılması açısından oldukça önemlidir. Bu durum, Kant’ın aritmetik teorisiyle ilgili görüşlerinin bütün olarak eleştirel felsefenin bir yansıması olma-sından kaynaklanır. Bununla birlikte Kant’ın matematik felsefesi üzerine yapı-lan çalışmaların çoğunda, geometri ve onun mekân a priori formuyla ilişkisi ay-rıntılı olarak ele alınırken, aritmetik ve zamanla ilişkisi nispeten ihmal edilir. Oysa Kant’ın aritmetik önermelerin doğasına dair iddialarının, kendi dinamik-leri içerisinde bağımsız olarak ele alınması gerekli ve daha makul görünmekte-dir. Bu doğrultuda çalışmamız boyunca Kant’ın aritmetik teorisini incelemeye gayret edeceğiz.

Kant's Theory of Arithmetic

Kant's arithmetic theory is very important both in general mathemat-ical philosophy and in the understanding of critical philosophy. This is because Kant's view of arithmetic theory is a reflection of critical philosophy as a whole. However, in the majority of works on Kant's mathematical philosophy, the relation between geometry and a priori form space is discussed in detail, arithmetic and its relationship with time are relatively neglected. Whereas, to handle Kant's claims about the nature of arithmetic proposals independently within their own dynamics seems necessary and more reasonable. In this direc-tion, we will try to examine Kant's arithmetic theory throughout our work.

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Bostock, D. (2009). Philosophy of Mathematics An Introduction. Sussex: Wiley- Blackwell Press.

Brittan, G. G. (1978). Kant’s Theory of Science. New Jersey: Princeton University Press.

Broad, C. D. (1942). Kant’s Theory of Mathematical and Philosophical Reasoning. Proceedings of the Aristotelian Society, Vol. 42, 1-24.

Engelhard, K. & Peter, M. (2008). Kant’s Theory of Arithmetic: A Constructive Approach. Journal for General Philosophy of Science, 39 (2), 245-271.

Friedman, M. (1992). Kant’s Theory of Geometry. Kant’s Philosophy of Mathematics Modern Essays. (Ed. by Carl J., Posy). London: Kuwerd Academic Publishers, 177-220.

Hanna, R. (2002). Mathematics for Humans: Kant’s Philosophy of Aritmethics Revisited. European Journal of Philosophy, Vol. 10, 328-352.

Kant, I. (1894). Dissetation on The Form and Prenciples of The Sensible and The Intelligible World. Kant’s Inaugural Dissertation of 1770. (Trn. by William J. E.). New York: Columbia College.

Kant, I. (1999). Correspondence. (Trn. and Ed. by Arnulf Zweig). Cambridge: Cambridge University Press.

Kant, I. (2009). Critique of Pure Reason. (Trn. Paul Guyer and Allen Wood). Camb-ridge: Cambridge Universty Press.

Kant, I. (1970). Philosophical Correspondence 1759-99. (Ed. by Arnulf Zweig). Chica-go: The University of Chicago Press.

Kant, I. (2004). Prolegomena to Any Future Metaphysics. (Trn. and Ed. by G. Hatfi-eld). Cambridge: Cambridge University Press.

Kneebone, G. T. (1963). Mathematical Logic and the Foundation of Mathematics An Introductory Survey. London: D. Von Notrand Company.

Leibniz, G. W. & Clarke, S. (2000). Correspondence. (Ed. by Roger Ariew). Camb-ridge: Hacket Publishing Company.

Leibniz, G. W. (1996). New Essays on Human Understanding. (Ed. by P. Remmant, J. Bennett). Cambridge: Cambridge University Press.

Martin, G. (1955). Kant’s Methaphysics and Theory of Science. (Trn. by P. Lucas). Manchester: Manchester University Press.

Parsons, C. (1969). Kant’s Philosophy of Arithmetic. Philosophy, Science and Met-hod. (Ed. by S. Morgenbesser, P. Suppes, M. White). New York: St Martin’s Press.

Posy, C. J. (1992). Introduction: Mathematics in Kant’s Critique of Pure Reason. Kant’s Philosophy of Mathematics Modern Essays. (Ed. by Carl J. Posy). London: Kuwerd Academic Publishers.

Prichard, H. A. (1906). Kant’s Theory of Knowledge. Oxford: Clarendon Press.

Risjord, M. (1990). The Sensible Foundation for Mathematics: A Defense of Kant’s View. Studies in History and Philosophy of Science, 21 (1), 123-143.

Shabel, L. (2006). Kant’s Philosophy of Mathematics. The Cambridge Companion to Kant and Modern Philosophy. (Ed. by Paul Guyer). Cambridge: Cambridge University Press, 94-128.

Shabel, L. (2003). Mathematics in Kant’s Critical Philosophy Reflections on Mathemathi-cal Practice. London: Routledge.

Smith, N. K. (1918). A Commentary to Kant’s Critique of Pure Reason. London: Mac-millan.

Sutherland, D. (2006). Kant on Aritmethic, Algebra and Proportions. Journal of the History of Philosophy, Vol. 44, 533-558.

Weber, A. (1993). Felsefe Tarihi. (Çev. H. Vehbi Eralp). İstanbul: Sosyal Yayınları.

Yaldır, H. & Güner, N. (2012). Immanuel Kant’s Philosophy of Mathemathics in Terms of His Theory of Space and Time. Kaygı, Vol. 18, 45-70.