Blaise Pascal’s Contributions to MathematicsBlaise Pascal had great contributions in mathematics through his inventions anddiscoveries. One of his earliest contributions was the Pascaline, the first calculating machine.Inspired by the work that his father did, collection of taxes, Blaise Pascal invented thecalculator to help his father do his work more efficiently (Wilson 96). In fact, the Pascalinewas never used commercially since at the time, many thought that it would createunemployment since it could do the work of six people. Secondly, he published the “Treatiseon the Arithmetical Triangle that described a convenient tabular presentation on how to workon binomial coefficients, what is called today Pascal’s triangle in mathematics. Using thetriangle, each number is the sum of the two numbers above it. Binomial is a type of algebraicexpression that has two terms operated only by addition, subtraction, and multiplication ofwhole number exponents. Imperatively, the coefficient produced when a binomial expressionis expanded forms a symmetrical triangle, the Pascal’s triangle. In his work on the roulette machine, Pascal started correspondence with amathematical theorist Pierre de Fermant in 1654. The two mathematical thinkers discussedmuch about gambling and Pascal’s experiment. Therefore, through these trials, Pascaldiscovered that there was a fixed likelihood that a particular outcome when a dice is rolled. Itis on this basis that Pascal discovered the mathematical theory of probability (Grant & Israel27). However, his writings on the theory were published after his untimely death. Theexpected value of a gamble and something occurring was born because of the interaction
Surname 4between Blaise Pascal and Pierre de Fermant. These two great mathematical thinkers of thetime laid the groundwork for Leibniz’s formulation of the calculus in mathematics. The twomathematicians contributed greatly to the calculation of probabilities by advancing the ideaof equally probable outcomes. They stated that probability of something taking place can becalculated before the real event occurs. The calculation allowed the use of fractions and ratiosin the determination of the likelihood of these events (Akyıldırım & Halil 60).