Heytesbury, William

William of Heytesbury, or William Heytesbury, called in Latin Guglielmus Hentisberus or Tisberus (c. 1313 – 1372/1373), was an English philosopher and logician, best known as one of the Oxford Calculators of Merton College, Oxford, where he was a fellow.

Heytesbury had become a fellow of Merton by 1330. In his work he applied logical techniques to the problems of divisibility, the continuum, and kinematics. His magnum opus was the Regulae solvendi sophismata (Rules for Solving Sophisms), written about 1335.

He was Chancellor of the University of Oxford for the year 1371 to 1372.
https://en.wikipedia.org/wiki/William_of_Heytesbury .

The Oxford Calculators were a group of 14th-century thinkers, almost all associated with Merton College, Oxford; for this reason they were dubbed "The Merton School". These men took a strikingly logico-mathematical approach to philosophical problems. The key "calculators", writing in the second quarter of the 14th century, were Thomas Bradwardine, William Heytesbury, Richard Swineshead and John Dumbleton. These men built on the slightly earlier work of Walter Burley and Gerard of Brussels.
The advances these men made were initially purely mathematical but later became relevant to mechanics. They used Aristotelian logic and physics. They also studied and attempted to quantify every physical and observable characteristic, like heat, force, color, density, and light. Aristotle believed that only length and motion were able to be quantified. But they used his philosophy and proved it untrue by being able to calculate things such as temperature and power. They developed Al-Battani's work on trigonometry and their most famous work was the development of the mean speed theorem, (though it was later credited to Galileo) which is known as "The Law of Falling Bodies". Although they attempted to quantify these observable characteristics, their interests lay more in the philosophical and logical aspects than in natural world. They used numbers to philosophically disagree and prove the reasoning of "why" something worked the way it did and not only "how" something functioned the way that it did.

The Oxford Calculators distinguished kinematics from dynamics, emphasizing kinematics, and investigating instantaneous velocity. They first formulated the mean speed theorem: a body moving with constant velocity travels the same distance as an accelerated body in the same time if its velocity is half the final speed of the accelerated body.https://en.wikipedia.org/wiki/Oxford_Calculators .

William Heytesbury (c. 1313–1372/3), a member of Oxford’s Merton College and the School of “Oxford Calculators”, was most likely a student of Richard Kilvington, who was a younger contemporary of John Dumbleton. Heytesbury developed the works of Thomas Bradwardine and Richard Kilvington, and he was also influenced by Walter Burley, William Ockham, and Roger Swyneshed (or Swineshead). He authored a popular textbook Regulae solvendi sophismata and several other collections of sophisms. He linked interests in logic, mathematics, and physics. He formulated the Mean Speed Theorem offering a proper rule for uniformly accelerated motion, later developed by Galileo. His works anticipated nineteenth-century mathematical analyses of the continuum. He influenced logic in Britain and Italy (where several late fourteenth and early fifteenth-century editions of his texts were printed) and his influence lasted until the sixteenth century when the debates he participated in declined.