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The Art of Mathematical Rationality

In: Kontinuum, Analysis, Informales – Beiträge zur Mathematik und Philosophie von Leibniz

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  • Herbert Breger

Abstract

Zusammenfassung “Ma metaphysique est toute mathematique pour dire ainsi, ou la pourroit devenir” (A III, 6, 253), Leibniz writes to L’Hôpital in 1694. And in a letter to Bouvet, Leibniz states that with the help of others, he could derive his whole philosophy from several axioms (A I, 19, 411). Moreover, Leibniz’s various proofs of the existence of God, his conception of God’s reason as the region of eternal truths, the characteristica universalis, which included his conviction of the existence of fundamental notions which cannot be reduced to other notions, the analytical theory of truth and finally his programme to prove all axioms are indicative of a strong concept of rationalism in the centre of Leibniz’s philosophy.

Suggested Citation

  • Herbert Breger, 2016. "The Art of Mathematical Rationality," Springer Books, in: Wenchao Li (ed.), Kontinuum, Analysis, Informales – Beiträge zur Mathematik und Philosophie von Leibniz, chapter 0, pages 185-196, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-50399-7_15
    DOI: 10.1007/978-3-662-50399-7_15
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