I don't see logic as empirical in the sense of being 'dependent on experience' — Wayfarer
I see logic as innate to the structure of the mind, an innate capacity. In that sense, I'm sympathetic to the generally platonist view. — Wayfarer
Husserl wrote a book called Formal and Transcendental
Logic. In it he attempts to untangle centuries old
confusions concerning the origin and nature of formal logic.
“ Its naive presupposing of a world ranks logic among the positive sciences. We were saying above that logic, by its relation to a real world, presupposes not only a real world's being-in-itself but also the possibility, existing "in itself", of acquiring cognition of a world as genuine knowledge, genuine science, either empirically or a priori. This implies: Just as the realities belonging to the world are what they are, in and of themselves, so also they are substrates for truths that are valid in themselves — "truths in themselves"”.
logic or reason, the capacity to understand terms such as 'the same as', 'greater than', 'because', and so on - are based on the mind's ability to grasp the relations of ideas. Those abilities can't be explained in materialist terms. — Wayfarer
Husserl argues that the above terms are not irreducible primitives of mind but are in fact products of higher levels constructions based on interaction with a world. ‘The same as’, ‘ greater than’ and ‘because’ are no more innate, world independent capabilities than the understanding of causality is a Kantian category of mind. When he performs the transcendental reduction, every sense associated with interaction with real or ideal
objects , such as ‘same as’ and ‘greater than’ , vanishes along with these objects What remains as irreducible is the structure of intentionality , the appearing of something in consciousness as what it is in the particular mode of givenness by which I intend it. Intentionality is neither the province of the mind in itself nor that of the material world . It precedes both of these derivative and inadequate ideas. It is the inseparable mutually dependent relation between a subjective (egoic) and objective pole of the intentional act.
“ Experience is the performance in which for me, the experiencer, experienced being "is there", and is there as what it is, with the whole content and the mode of being that experience itself, by the performance going on in its intentionality, attributes to it.”
Comparisons, differentiations , additions and subtractions are actions performed on already constituted formal objects. But how is it that we are able to experience an object as a singular unit , separated out from a
multiplicity of which we deem it to belong , such that we can proceed to perform these feats of logic? Husserl’s fist published work , the philosophy of arithmetic, offers a fascinating genesis of such seemingly irreducible concepts as that of the discrete , self-persisting object from mix more basic acts , wherein there is as yet no concept of formal object.
For instance, according to Husserl, the basis of any sort of whole of independently apprehended parts(a whole in the pregnant sense) is the collective combination, which is an abstracting act of consciousness uniting parts.
“Collective combination plays a highly significant role in our mental life as a whole. Every complex phenomenon which presupposes parts that are separately and specifically noticed, every higher mental and emotional activity, requires, in order to be able to arise at all, collective combinations of partial phenomena. There could never even be a representation of one of the more simple relations (e.g., identity, similarity, etc.) if a unitary interest and, simultaneously with it, an act of noticing did not pick out the terms of the relation and hold them together as unified. This 'psychical' relation is, thus, an indispensable psychological precondition of every relation and combination whatsoever.”(p.78)
He conducted these researches under a psychological rubric , leading to accusations of psychologism from Frege and others. Ten years later he understood his method to be phenomenological, correcting the impressions of psychologism without affecting the substance of his description of the constitution of totality. In Experience and Judgement, he conducts a similar investigation under the heading of apprehension of plurality.
In any such whole the parts are united in a specific manner. Fundamental to the genesis of almost all totalities is that its parts initially appear as a temporal succession.
“Succession in time constitutes an insuppressible psychological precondition for the formation of by far the most number concepts and concrete multiplicities - and practically all of the more complicated concepts in general.”(Phil of Arithmetic, p.29) “Almost all representations of multiplicities - and, in any case, all representations of numbers - are results of processes, are wholes originated gradually out of their elements. Insofar as this is so, each element bears in itself a different temporal determination.”(p.33) “Temporal succession forms the only common element in all cases of multiplicity, which therefore must constitute the foundation for the abstraction of that concept.”(p.30)
While the first step of constitution of a multiplicity is the awareness of the temporal succession of parts, each of which we are made aware of as elements “separately and specifically noticed” , the collective combination itself only emerges from a secondary act of consciousness. This higher order constituting sense changes what was originally a temporal succession into a simultaneity by ‘bringing' back ‘ the previous parts via reflecting on them in memory. Husserl says that a combination of objects is similar to the continuity of a tone. In both cases, a temporal succession is perceived through reflection as a simultaneity.
“For the apprehension of each one of the colligated contents there is required a distinct psychical act. Grasping them together then requires a new act, which obviously includes those distinct acts, and thus forms a psychical act of second order.”(p.77) “It is essential that the partial representations united in the representation of the multiplicity or number be present in our consciousness simultaneously [in an act of reflection].”(p.33)