George Berkeley

George Berkeley (British English:/{{IPA|?b??.kli?}}/; Irish English: /{{IPA|?b??.kli}}/) (March 12, 1685 – January 14, 1753), also known as Bishop Berkeley, was an influential Irish philosopher whose primary philosophical achievement is the advancement of what has come to be called subjective idealism, summed up in his dictum, "Esse est percipi" ("To be is to be perceived"). Basically, the theory is that we can only directly know sensations and ideas of objects, not abstractions such as "matter". He wrote a number of works, the most widely-read of which are his Treatise Concerning the Principles of Human Knowledge (1710) and Three Dialogues between Hylas and Philonous (1713) (Philonous, the "lover of the mind", representing Berkeley himself). In 1734 he published The Analyst, a critique of the foundations of science, which was very influential in the subsequent development of mathematics.

The Analyst Controversy

In addition to his contributions to philosophy, Bishop Berkeley was also very influential in the development of mathematics, although in a rather negative sense. In 1734 he published The Analyst, subtitled A DISCOURSE Addressed to an Infidel Mathematician. The infidel mathematician in question is believed to have been either Edmond Halley, or Isaac Newton himself, although the discourse would then have been posthumously addressed as Newton died in 1727. The Analyst represented a direct attack on the foundations and principles of calculus, and in particular the notion of fluxion or infinitesimal change which Newton and Leibniz had used to develop the calculus.

Related Topics:
1734 - The Analyst - Edmond Halley - 1727 - Calculus - Fluxion - Infinitesimal - Leibniz

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Berkeley regarded his criticism of calculus as part of his broader campaign against the religious implications of Newtonian mechanics – as a defence of traditional Christianity against deism, which tends to distance God from His worshippers.

Related Topics:
Religious - Deism

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As a consequence of the resulting controversy, the foundations of calculus were rewritten in a much more formal and rigorous form using limits. It was not until 1966, with the publication of Abraham Robinson's book Non-standard Analysis, that the concept of the infinitesimal was made rigorous, thus giving an alternative way of overcoming the difficulties which Berkeley discovered in Newton's original approach.

Related Topics:
Limit - 1966 - Abraham Robinson - Non-standard Analysis

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