Is an infinite regress possible?
The mere existence of an infinite regress by itself is not a proof for anything. So in addition to connecting the theory to a recursive principle paired with a triggering condition, the argument has to show in which way the resulting regress is vicious.
Are mathematics infinite?
Cantor’s views prevailed and modern mathematics accepts actual infinity as part of a consistent and coherent theory. Certain extended number systems, such as the hyperreal numbers, incorporate the ordinary (finite) numbers and infinite numbers of different sizes.
What is wrong with an 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.
Why is infinite regress a fallacy?
It’s a fallacy because it is begging the question that is to say that it is a circular argument. Whether referring to the origins of the universe or any other regressive context, the answer simply moves the question back into infinite regress rather than answering it.
What is the meaning of infinite regression?
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 are the 5 proofs of God’s existence?
Thomas Aquinas’ Five Ways to Prove the Existence of God
- The First Way: Motion.
- The Second Way: Efficient Cause.
- The Third Way: Possibility and Necessity.
- The Fourth Way: Gradation.
- The Fifth Way: Design.
Is an infinite regress absurd?
As seen in the example given to us by Aristotle, regress arguments can be constructive; that is, they are used as justifications for belief. For Aristotle, infinite regression presents as something absurd.
What is the regress problem?
In epistemology, the regress argument is the argument that any proposition requires a justification. However, any justification itself requires support. This means that any proposition whatsoever can be endlessly (infinitely) questioned, resulting in infinite regress.