Contemporary Ethics is, mathematically speaking, a field biweldered by its natural commutativity axiom, wherein any nonzero element is invertible. Not only disempowerment, segregation, aggresion, torture, death murder, terrorism, Nature depletion, but even genocide have, for any occasion, one integer to its inverse value (x≠x-1) meaning with this that there is at least one n-tuple conscience [intention, belief, knowledge, action] willing to subscribe the inverse. The canonical and strict orthos-axis of Ethics, commanding the different normative standard vectors through ethos and mores, is, of course, a perpetual derivative, but at present, also non-Classical in respect with different gradients and orphan of a Foundation of Morals. Ethics is maximally non-congruent with a Metaphysic of Morals as interpreted by Kant, with a Categorial Imperative as the Supreme Principle of Morality, envisaged in one such n-tuple conscience as: [good will, imperatives, pratical reason, the formula for the Universal law of Nature]. And the demerge within derivative patterns of Ethics is best exemplified by the effects of Physics and Biology on Ethics, in reductionism, from the atom and the cell. Intergenerational Equity and Environmental Ethics on one side, and Bioethics on the other, have, in its own right, commanded the debate, oscillating between responsability and normativity. It is the purport of this paper to dissert on the ambivalence of Contemporary Ethics, between Classical limits (The Golden Rule, Leviticus 19:18) and the exhaustion of potentially infinite (∞) many infinitesimals (ε), of non-integrality, in NonStandard Analysis, rethinking the Foundation of Morals from Mathematics in Leibnizian style.
Luís Homem, University of Lisbon, Portugal
Stream: Ethics; Religion; Philosophy
This paper is part of the ACERP2014 Conference Proceedings (View)
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