In an earlier Blog on this post, the distinction between the Empirical Sciences and the Theoretical Sciences was postulated (confer: “Epistemological Difficulties”).\u00a0 The Principles of the Theoretical Sciences ought to be contrasted with Statements written in vernacular Prose.<\/p>\n
For example, “The area of a circle equals its radius squared multiplied by pi” is much easier said by simply stating: “A = \u03c0 \u00d7 r2<\/sup>.”<\/p>\n The Principles of the Theoretical Sciences seem to exist independently of any conscious observer.\u00a0 It doesn’t matter who performs the calculation “7 + 5.”\u00a0 If they get any other solution besides the number “12” it is an incorrect solution.\u00a0 Likewise with “7 \u00d7 5 = 35.”<\/p>\n A certain ambiguity arises when the conventionally held philosophical alternative between what are called “Synthetic a priori<\/em> Propositions” and “Analytic a priori<\/em> Propositions” is made.\u00a0 The word “analytic” means taking things apart and the word “synthetic” means putting things together.<\/p>\n For instance, the Proposition “All bodies are extended” was held to be Analytic; whereas, the Proposition “All bodies are heavy” was held to be Synthetic.\u00a0 These kinds of arbitrary dichotomies obviously are obsolete.<\/p>\n To allay this confusion, what were formerly called Synthetic a priori<\/em> Cognitions ought to be replaced by a contrast between the Principles of the Theoretical Sciences and other types of scientific statements expressed in Prose.\u00a0 These Theoretical Sciences are comprised mainly by Logic, Mathematics, and Geometry.<\/p>\n The most compelling feature of the Theoretical Sciences is their structure.\u00a0 Simply put, this structure is composed of Axioms, Rules of Inference, and Consequences.\u00a0 The Consequences of a Theoretical System can be derived in a decidable manner from the Axioms and the Rules of Inference.<\/p>\n The Science of Physics bridges the gap between the Theoretical Sciences and the Empirical Sciences.\u00a0 This explains the alleged “Pre-established harmony between Mathematics and Physics.”\u00a0 Yet recently contemporary physics seems to be running up against a glass ceiling of philosophical discourse.\u00a0 The metaphysics of materialism is clearly no longer a viable hypothesis.\u00a0 Certain notions such as the multiverse or relativistic space can be analyzed using the methodology of Ontology.\u00a0 Clearly, physics needs philosophy now more than ever.<\/p>\n","protected":false},"excerpt":{"rendered":" In an earlier Blog on this post, the distinction between the Empirical Sciences and the Theoretical Sciences was postulated (confer: “Epistemological Difficulties”).\u00a0 The Principles of the Theoretical Sciences ought to be contrasted with Statements written in vernacular Prose. For example, … Continue reading