What is infinite division?
In a general sense, infinitely divisible means that any section of time and space can be divided into an infinite number of smaller and smaller pieces. For example, 10 feet can be subdivided into 1 foot sections, 0.1 foot sections, 0.00001 foot sections…and so on.
Who believed that all things can be divided infinitely?
The origin of the idea in the Western tradition can be traced to the 5th century BCE starting with the Ancient Greek pre-Socratic philosopher Democritus and his teacher Leucippus, who theorized matter’s divisibility beyond what can be perceived by the senses until ultimately ending at an indivisible atom.
Can you divide something infinitely?
You can cut something into two halves, divide each of those to yield four quarters, divide each of these to yield eight eighths, and carry on going without ever needing to stop dividing.
When was the concept of infinity developed?
The earliest recorded idea of infinity in Greece may be that of Anaximander (c. 610 – c. 546 BC) a pre-Socratic Greek philosopher. He used the word apeiron, which means “unbounded”, “indefinite”, and perhaps can be translated as “infinite”.
Is infinity infinity defined?
infinity, the concept of something that is unlimited, endless, without bound. The common symbol for infinity, ∞, was invented by the English mathematician John Wallis in 1655.
What is infinity times infinity?
Lesson 12: “Infinity times Infinity = Infinity”
What does infinity mean in philosophy?
Aristotle and after
It is always possible to think of a larger number: for the number of times a magnitude can be bisected is infinite. Hence the infinite is potential, never actual; the number of parts that can be taken always surpasses any assigned number.
Where did infinity come from?
Infinity has its own special symbol: ∞. The symbol, sometimes called the lemniscate, was introduced by clergyman and mathematician John Wallis in 1655. The word “lemniscate” comes from the Latin word lemniscus, which means “ribbon,” while the word “infinity” comes from the Latin word infinitas, which means “boundless.”
What is the infinity symbol called?
The symbol for infinity that one sees most often is the lazy eight curve, technically called the lemniscate. This symbol was first used in a seventeenth century treatise on conic sections. It caught on quickly and was soon used to symbolize infinity or eternity in a variety of contexts.
What does Aristotle say about infinity?
Aristotle postulated that an actual infinity was impossible, because if it were possible, then something would have attained infinite magnitude, and would be “bigger than the heavens.” However, he said, mathematics relating to infinity was not deprived of its applicability by this impossibility, because mathematicians …
Is time infinite in philosophy?
Temporal finitism is the doctrine that time is finite in the past. The philosophy of Aristotle, expressed in such works as his Physics, held that although space was finite, with only void existing beyond the outermost sphere of the heavens, time was infinite.
Does infinity exist in science?
Although the concept of infinity has a mathematical basis, we have yet to perform an experiment that yields an infinite result. Even in maths, the idea that something could have no limit is paradoxical. For example, there is no largest counting number nor is there a biggest odd or even number.
Is infinity a paradox?
The paradox arises from one of the most mind-bending concepts in math: infinity. Infinity feels like a number, yet it doesn’t behave like one. You can add or subtract any finite number to infinity and the result is still the same infinity you started with. But that doesn’t mean all infinities are created equal.
Does infinity include 0?
The concept of zero and that of infinity are linked, but, obviously, zero is not infinity.
Do numbers end?
The sequence of natural numbers never ends, and is infinite.
What number is after 999 billion?
After a billion, of course, is trillion. Then comes quadrillion, quintrillion, sextillion, septillion, octillion, nonillion, and decillion.
What is the number 1000000000000000000000000?
Some Very Big, and Very Small Numbers