Hume on infinity?

What does philosophy say about infinity?

… 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.

What is Hume’s main idea?

Hume proposes the idea that moral principles are rooted in their utility, or usefulness, rather than in God’s will.

What does Hume say about reality?

Thus Hume stands pat with skepticism and asserts nothing at all about the character of any reality that might (or might not) exist “external” or “beyond” our impressions and ideas. For Hume “reality” simply is impressions and ideas.

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 …

Who thought of the concept of infinity?

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. Three main types of infinity may be distinguished: the mathematical, the physical, and the metaphysical.

Does Hume believe in God?

I offer a reading of Hume’s writings on religion which preserves the many criticisms of established religion that he voiced, but also reveals that Hume believed in a genuine theism and a true religion. At the heart of this belief system is Hume’s affirmation that there is a god, although not a morally good.

What is the goal of life according to David Hume?

Hume’s moral system aims at the happiness of others (without any such formula as “the greatest happiness of the greatest number”) and at the happiness of self. But regard for others accounts for the greater part of morality.

Is infinity a paradox?

The paradox states that you can still fit another infinite number of guests in the hotel because of the infinite number of rooms. If the rooms were full, then there is a last room, which means that the number of rooms is countable. To solve this paradox, we must first make it clear that infinity is not a number.

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.

Is infinity an idea?

Infinity is an abstract concept used to describe something that is endless or boundless. It is important in mathematics, cosmology, physics, computing, and the arts.

Why is infinity so important?

Infinity is denoted by the symbol ∞. The concept of infinity is extremely important in a variety of contexts, most notably calculus and set theory.
Infinity in terms of Cardinality.

Natural numbers Even numbers
4 8
⋮ \vdots ⋮ ⋮ \vdots ⋮

Does infinity exist in nature?

In summary there is as yet no consensus as to whether infinities exist in the physical world. In the absence of concrete scientific answers it makes sense to turn to philosophers.