Aodh Macs Blog

As regards Formal Logic and Set theory, what is a dichotomy? As Regards Formal Logic and Set Theory, what is a Dichotomy? Introduction: The mathematical term: ‘dichotomy’ is employed in common parlance, usually as a component of the phrase: a false dichotomy .  When we refer to: a false dichotomy in common English, we generally refer to two competing ideologies that might seem, at first glance, to have nothing in common; no shared elements; but, upon further inspection, actually have a lot of elements in common. The Term ‘Dichotomy’ in Mathematics and Logic: The purpose of this blogpost is to examine what the term: ...

     Figure 2:   The Natural Number Symbol that I scripted in SVG. The Natural Number symbol is a blackboard boldface ‘N’.      Figure 2:   The Natural Number Symbol exported as a PNG file. The set of Natural numbers can refer either to the set of non-negative integers, i.e.: {0, 1, 2, 3, 4, ...} or to the set of positive integers, i.e.: {1, 2, 3, 4, 5, ...} The term, ‘natural numbers,’ refers to quantities observed in nature. One can have two apples; three pears or five bananas; how...