Constructive Mathematics, Quantum mechanics, Free Will and Consciousness

The objective of this paper is to show that non-constructive mathematics is incapable as a framework for research on consciousness. Indeed, we shall discuss how non-constructive mathematics is inconsistent with the physics of consciousness which deals with quantumness. This inconsistency implies the incapability of non-constructive mathematics to represent the free will of a conscious agent. Furthermore, we shall suggest Constructive mathematics (and topos theory which is one of its models) as an alternative framework to study consciousness. The pivotal role of the excluded middle law in our discussion will be addressed in detail.

Keywords

Constructive mathematics, Quantum mechanics, Free will, consciousness, the law of excluded middle, QBism

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average