# Must explanatory mathematical systems of the world lead to infinite regress?

## Is infinite regress necessity or possibility?

Aristotle. Aristotle argued that knowing does not necessitate an infinite regress because some knowledge does not depend on demonstration: Some hold that owing to the necessity of knowing the primary premises, there is no scientific knowledge. Others think there is, but that all truths are demonstrable.

## What was infinite regress theory?

An infinite regress is a series of appropriately related elements with a first member but no last member, where each element leads to or generates the next in some sense. An infinite regress argument is an argument that makes appeal to an infinite regress.

## What is the problem with infinite regress?

The fallacy of Infinite Regress occurs when this habit lulls us into accepting an explanation that turns out to be itterative, that is, the mechanism involved depends upon itself for its own explanation.

## What is infinite regress example?

For example, the statement “S is true” entails the infinite regress, (1) S is true; (2) (S is true) is true; (3) «S is true) is true) is true, etc. For it is impos- sible for (1) to be true and (2) to be false; it is impossible for (2) to be true and Page 14 216 Claude Gratton (3) to be false, etc.

## What causes infinite regression?

You are talking about an infinite regress of causes. Every cause must be proceeded by another cause ad infinitum. In philosophy, an infinite regress is an indication of absurdity. The necessity for a prime cause (uncaused by a prior cause) to combat this absurdity is an argument for the existence of god.

## Why is infinite regress absurd?

Suppose that every finite and contingent being has a cause, and that every cause is a finite and contingent being. This yields a regress that is absurd. Hence: it is not the case that every cause is a finite and contingent being. There must be a first cause which is not finite or contingent, namely God.

## What does the author mean by the term infinite regression vicious circle in this passage?

What does the author mean by the terms ‘infinite regress’ or ‘vicious circle’ in this passage? A. Certain matters of fact and certain principles of inference should not stand in need of extraneous evidence.

It’s not that “infinity is the biggest integer” – such an idea is contradictory. It’s that “there is no such thing as the largest-possible integer.” Or, shorthand, “Positive integers are infinite in size.”

## Can there be time without change?

Abstract. Sydney Shoemaker argues that time without change is possible, but begs the question by assuming an, in effect, Newtonian absolute time, that ‘flows equably’ in a region in which there is no change and in one in which there is.

## Does philosophy change over time?

Philosophers spend a good deal of time in reflection upon these basic issues. They produce ideas, at times strange ideas. Over time however, the ideas of Philosophers have changed the course of human events all over the planet.

## Why change is an illusion?

By similar reasoning, existing things are eternal because they cannot go out of existence. It is now a small step to conclude that change is an illusion, on the grounds that a change in a thing implies that there was a time when the thing-as-changed did not exist.

## Who thought change is an illusion?

The central vision of Parmenides‘ work is that change is an illusion – appearances change but not essense – which is later reflected in Plato’s Theory of Forms which claims that the observable world is only a reflection of a higher, truer, reality.

## What does Plato say about change?

Plato said that real things (Forms) don’t change, and restricted change to the realm of appearances—the physical world. Parmenides went farther still, denying the existence of change altogether.

## Did Aristotle believe in change?

Aristotle says that change is the actualizing of a potentiality of the subject. That actualization is the composition of the form of the thing that comes to be with the subject of change.

## What is Plato’s theory of reality?

Reality. Plato asserted that there were two realms; the physical and spiritual realms. The physical realm consists of the material things we interact with and see every day, and changes constantly. The spiritual realm, however, exists beyond the physical realm. Plato calls this spiritual realm the Realm of Forms.