Enrico Pier Giorgio Cadeddu

Theoretical necessity of the Accelerating Universe

It is argued that Universe spacetime must be flat, but also, at the same time, space must be finite, homogeneous (on global scale) and isotropic. Thus, it is possible that there are light rays observed propagating along parallel trajectories in an expanding finite hypersphere. It...

Inconsistency of ℕ

The graphical-geometrical representation of ℕ, and hence of actual infinity, requires the existence of infinitesimal intervals. However, such intervals do not exist when the representation is based on the rational numbers.

Inconsistency of ℕ

The graphical-geometrical representation of ℕ, and hence of actual infinity, requires the existence of infinitesimal intervals. However, such intervals do not exist when the representation is based on the rational numbers.

Inconsistency of ℕ

Inconsistency of the actual infinity, thus ℕ, follows from the strict inclusion of the natural numbers in ω, but also by considering the chain of infinitely many terms 1/n and 0.

Inconsistency of ℕ

Inconsistency of the actual infinity, thus ℕ, follows from the strict inclusion of the natural numbers in ω, but also by considering the chain of infinitely many terms 1/n and 0.

An objection to "Logical necessity of Quantum Mechanics"?

The objection against discontinuous motion in favor of continuous motion—that a finite line segment contains uncountably infinitely many points traversed by a moving object—is avoided by observing that this objection implies traversing, and hence counting, countably infinitely ma...

An objection to "Logical necessity of Quantum Mechanics"?

The objection against discontinuous motion in favor of continuous motion—that a finite line segment contains uncountably infinitely many points traversed by a moving object—is avoided by observing that every infinite totality also implies the presence of the infinite cardinality...