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Positivism starts by stating "world (existence) is composed of atoms" then it goes to state that in order to claim one state of the nature is true or false one has to look at atomic arragement, empirically, and that there is no certainty that the same arrangement will automatically render the same state of nature, u have no a priori guarantee. Objectivism starts by stating that existence exists, therefore anything that exists is what it is if it can be defined independent from other entities (non-necessity principle), therefore almost by definition its nature is immutable and not subject to empirical verification.

Although it may look as petty differences it is not, on the one hand positivism concludes that since nothing is granted (not even causality) u have to look at the world for answers, meanwhile objectivism concludes that since there are in reality well defined entities (dont matter if they're not atomistic, since it can be logically proved that the principle allows for both aggregate and atomistic entities), causality exists (same cause same consecuence).

Positivism would go on saying that objectivism claim is just labelling exercise, objectivism would refute by saying it is not labelling because it is grounded on existence: a thing cannot be other than a thing. So positivism would defend the claim that in quamtum physics outcome comes from nowhere (probabilistic), objectivism would claim that outcome comes from already existing entities and that probability assumption is a reflection of lack of knowledge.

On ethics, positivism would say that since everything needs to be verified ethics per se doesnt exist, all human behaviour pertain to the sciences. Objectivism would say that ethics work with concepts (abstraction of entities in action), it is possible. This goes down to politics: positivism is apolitical and amoral. Objectivism has ethics and therefore only allows a political system consonant with ethics.

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