Georg Cantor

Georg Ferdinand Ludwig Philipp Cantor was born on March 3, 1845 in Saint Petersburg, Russia. His father, Georg Waldemar Cantor, was a successful merchant working as a wholesaling agent, then later found another job as a broker in the St. Petersburg Stock Exchange. Georg’s father was born in Denmark and had a deep passion for culture and arts. His mother, Maria Anna Böhm, was from Russia and very musical. Georg inherited his love for music and arts from his parents, considering he was a wonderful

Georg Cantor I. Georg Cantor Georg Cantor founded set theory and introduced the concept of infinite numbers with his discovery of cardinal numbers. He also advanced the study of trigonometric series and was the first to prove the nondenumerability of the real numbers. Georg Ferdinand Ludwig Philipp Cantor was born in St. Petersburg, Russia, on March 3, 1845. His family stayed in Russia for eleven years until the father's sickly health forced them to move to the more acceptable environment of Frankfurt

if we had a set of all prime numbers, the number 4 could not belong to the set as it has more positive divisors than just 1 and itself -- it violates the specific criteria for membership in the set. There are two types of sets as defined by Georg Cantor: finite and infinite. A finite set is simply one whose size, or cardinality, can be defined by a natural number. Cardinality describes the number of elements contained in a set. The members of any set (finite or infinite) can be placed in a

A famous German mathematician, Georg Cantor is known for discovering and building a hierarchy of infinite sets according to their cardinal numbers. He is also known for inventing the Cantor set, which is now a fundamental theory in mathematics. Georg Ferdinand Ludwig Philipp Cantor was born on March 3, 1845 in Saint Petersburg, Russia, to Georg Waldemar Cantor and Maria Anna Bohm. His father was a German Protestant and his mother was Russian Roman Catholic. Cantor was brought up as a staunch Protestant

Aristotle supported the idea of “potential infinity” but refuted the idea of “actual infinity”. He defined potential infinity by saying if you are counting natural numbers, logic would tell us that we can always add one to the previous number and that can potentially go on forever. He also said that we could potentially use this logic in geometry if we imagined a line that extended beyond both points with no recognizable end. On the contrary, actual infinity seems paradoxical because even if we had

A Discussion on the History, Variations, and Applications of Infinity Infinity is perhaps one of the most frequently encountered idea in today’s world. This concept of endlessness is what people normally associate with when discussing infinity, and it has become something that we have integrated into everyday language. Although it may seem to be simple concept, infinity is actually a widely debated and argued topic, and it has shown to be more complex than it initially appears to be. There are

theory is an area of mathematics that deals with inconceivable numbers, and bottomless concepts such as infinity. The history of set theory is relatively dissimilar from the history of most other parts of mathematics. Set Theory was founded by Georg Cantor in 1874 in his paper “On a Characteristics Property of All Real Algebraic Numbers”. Naive set theory is fun, and as we saw with Cantor’s diagonalization, it can produce some incredibly beautiful results. But as we’ve seen before, in the simple

infinity. However, they did not actuaily delve into the entirety of this number. The Greeks used the term “potentially infinite," for the concept of an actual limitless value was beyond their comprehension. The actual term “infinity” was defined by Georg Cantor, a renowned German mathematician, in the late nineteenth century. It was originally used in his Set Theory, which is a very important theory to the mathematical world. The value of infinity can get a bit confusing, as there are different types

Mathematics and theology have blossomed together throughout history with many great mathematicians also being great theologians. However, in the modern scientific era, mathematics has become by and large secularized in mainstream academia. Although the secularization of mathematics seems to ignore mathematics’ metaphysical value, in truth, this secularization allows for mathematics to act as a universal tool and allows the individual to attach his or her own personal truths without marginalizing

One of the most important ideas upon which Descartes’s proof of the existence of God rests is that rational minds face constraints. While God is the absolute infinite, humans and other beings exist with limitations on their actions. One of these limitations is human intellect, which Descartes names as one component of the cause of our tendency toward error as humans. The finite nature of human intellect, he argues, combines with an infinite will which causes us to seek an understanding of phenomena