Search Results: Umbral calculus

Utilitarianism is a philosophy founded by Jeremy Bentham (1748-1832) and then extended by other thinkers, notably John Stuart Mill (1806-1873). Utilitarianism involves the greatest happiness principle, which holds that a law or action is...

Jeremy Bentham (1748-1832) was an English philosopher and liberal social reformer best known as the founder of utilitarianism based on the greatest happiness principle, that is, rationally judging the success of a law by considering how many...

Gottfried Wilhelm Leibniz (1646-1716) was a German polymath who became well-known across Europe for his work, particularly in the fields of science, mathematics, and philosophy. Leibniz's rationalist philosophy attempted to reconcile traditional...

Isaac Newton (1642-1727) was an English mathematician and physicist widely regarded as the single most important figure in the Scientific Revolution for his three laws of motion and universal law of gravity. Newton's laws became a fundamental...

Marie Jean Antoine Nicolas de Caritat, Marquis de Condorcet (1743-1794), also known as Nicolas de Condorcet, was a French philosopher, political theorist, and mathematician. His ideas, encompassing a wide range of topics from education to...

Ibn Sina and Biruni were two of the most outstanding thinkers to have lived between ancient Greece and the European Renaissance. These two giants of a lost era of enlightenment were born in Central Asia about the year 980. For six hundred...

Archimedes (l. 287-212 BCE) was a Greek engineer and inventor who is regarded as the greatest mathematician of antiquity and one the greatest of all time. He is credited with a number of inventions still in use today (such as the Archimedes...

René Descartes (1596-1650) was a French mathematician, natural scientist, and philosopher, best known by the phrase 'Cogito ergo sum' ('I think therefore I am'). He published works on optics, coordinate geometry, physiology, and cosmology...

John Stuart Mill (1806-1873) was a highly influential English philosopher of the Victorian Era. His writings were influenced by the Enlightenment thinkers and German Romanticism. Besides philosophical works, he wrote on mathematics, language...

Greek mathematics, the study of numbers and their properties, patterns, structure, space, apparent change, and measurement, is said to have originated with Thales of Miletus (l. c. 585 BCE) but was clearly understood during the periods of...