Posted 29 Jul 2008 · Report post Logicism (brief explanation): the hypothesis that it is possible to define all mathematical concepts in terms of the concepts of logic and that it is also possible to deduce all mathematical axioms from axioms of logic.For example, if we assume that Objectivism is true and we are able to conclude that the hypothesis is false, then logicism is incompatible with Objectivism. Share this post Link to post Share on other sites
Posted 30 Jul 2008 · Report post Logicism, is a new term. Necessarily it's founded by some yet another incompetent professor trying to coin a new term. The underlying question is -- is rationalism compatible with Objectivism. Objectivism deals with a lot more than just logic and syllogisms, but the logical part of Objectivism takes into great consideration observation, and induction, while putting deductions in a secondary place. Share this post Link to post Share on other sites
Posted 30 Jul 2008 · Report post Logicism (brief explanation): the hypothesis that it is possible to define all mathematical concepts in terms of the concepts of logic and that it is also possible to deduce all mathematical axioms from axioms of logic.For example, if we assume that Objectivism is true and we are able to conclude that the hypothesis is false, then logicism is incompatible with Objectivism.Why would you just "assume" that Objectivism is true?Logicism as a doctrine in the philosophy of mathematics attempting to reduce mathematics to symbolic logic which dates back to the late 19th century. Bertrand Russell and Gottlieb Frege were well known proponents. Ayn Rand did not formulate a philosophy of mathematics, which is a specialized branch of philosophy rerquiring specialized technical knowledge not necessary for general philosophy. She did, however, have a lot of good insights on applying her theory of concepts to basic ideas of mathematics in her Introduction to Objectivist Epistemology, including the appendix on her workshops on the original book. She completely rejected Bertrand Russell's notions of number, which are completely incompatible with Russell and Logicism. For some discussion on this topic on the Forum start here. Share this post Link to post Share on other sites
Posted 31 Jul 2008 · Report post Logicism, is a new term. Necessarily it's founded by some yet another incompetent professor trying to coin a new term. The underlying question is -- is rationalism compatible with Objectivism. Objectivism deals with a lot more than just logic and syllogisms, but the logical part of Objectivism takes into great consideration observation, and induction, while putting deductions in a secondary place.What makes you say it is a new term? It was founded by Gottlob Frege who was born in 1848. Share this post Link to post Share on other sites
