[T]he visible world supposes an invisible world as its interpreter, and […] in the application of the mathematics themselves there must (if I may venture upon the word) be something meta-mathematical. Though the senses may make known the phenomena, and mathematical methods may arrange them, yet the craving of our nature is not satisfied till we trace in them the projection of ourselves, of that which is divine within us
From a lecture to astronomy students given by William Rowan Hamilton in 1833 (Graves, 1882-9, vol. 2, p. 68).
Hamilton differed from other mathematicians of his time in his focus on abstract mathematical laws, and in finding inspiration in idealist philosophers such as Immanuel Kant and Samuel Taylor Coleridge, as can be seen from the quote. “Hamilton often argued that certain metaphysical views were the primary motivation for his work in mathematics” (Attis, 2004).
Continue reading “What has Hamilton to do with philosophy?”
Boolean Expressions: Contemporary art and mathematical data, a new exhibition investigating how artists have used logic and technology, at UCC’s Lewis Glucksman Gallery this Friday, July 24. It will be opened at 3pm by Lord David Putman. The exhibition, which runs until 8 November, is accompanied by an extensive programme of curated events, talks, art courses and workshops (see the brochure here.)
What is beauty? Irish philosophers have given many different answers. Berkeley suggested beauty was recognised by judgement and that a thing was “perfect in its kind when it answers the end for which it was made.” (Alciphron, p. 129). For Hutcheson, we have an innate sense that recognises beauty: where “there is Uniformity amidst Variety” (An Inquiry into the Original of Our Ideas of Beauty and Virtue, I. II. § III). For Hutcheson, theorems could have beauty (I. III.), an idea that might have appealed to Boole.
Continue reading “Boolean Expressions (exhibition), UCC’s Lewis Glucksmann Gallery, opens Friday, 24 July 2015 at 3pm”