Negative Aleph (-ℵ)
Negative Aleph (-ℵ) – A symbol to represent sense used in diagrams. Mathematics uses Aleph numbers represent infinite cardinality. To translate the quantifiable aspects of sense into mathematical terms, the idea of negative cardinality has some appeal. Since cardinality conceives of such a primitive function of numbers (the sense of shapeless, yet precisely ordered “size” that we afford to pure quantities), in order to accurately place sense beneath measure and numbers, we might speak in terms of sense having incardinality, i.e. infinite pre-cardinality and infinite post-cardinality. Sense bleeds through quantitative partitions, as a spectrum bleeds across a diffraction grating or a melody bleeds across individual notes. No particular note is an indispensable part of a song, and any song can have many different renditions, each carrying some sense of style, intention, and character of the musician. In this way, the mathematically viable aspects of sense can be understood as ”the transmeasurable context of experience from which numbers (and all measurement of measurables) can arise”.
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I find the post very interesting, but still very counter intuitive, the aleph number(s) represents the infinite cardinality of natural numbers, 1,2,3,4,5 etc. as I argue, a number infininetly bigger then aleph null would be needed to describe a negative aleph number.
Thanks! I’m not opposed to it being infinitely bigger, in the sense that what I’m describing would be the totality of all experience-making and cardinality is infinitely finite/generic/recursive partitioning of that totality.