Infinity
The concept of infinity explores the limitations of human thinking. It’s a paradox. To explore infinity by introducing limits and boundaries. Mathematics and numbers are a human concept and is by definition trapped inside a box. The box can even be imagined to be of infinite size.
As an example, between two boundaries defined as +1 and +2 there exists potentially an infinite number of positions, though logically the boundaries conflict against the concept of an infinite number. The unbroken circle creates the boundary for an area that contains an infinite number of points of infinitely small size within two dimensions. Wherever the starting point in the closed circle may be, this starting point could never be identified when passing through or past it. Knowing when returning to the starting point would never be possible. The sphere describes three dimensions and a larger infinity. Logically, there must be a finite number if contained within any boundary.
The movement between positive and negative is deemed to pass through nothing (zero), a ‘number’ that defines nothingness. Positive moves toward negative, though passing through nothing. A non-powered object moving upwards vertically (against) gravity will slow to a stop. The object will then fall downwards under the influence of gravity (whatever may cause it). At the highest point, the velocity is zero for necessarily a finite time that is potentially measurable. That moment must be real since the direction of motion is reversed and the velocity must have reached zero.
Paradoxically, root 2 can never be defined mathematically though it can easily be drawn (diagonal of a 1 x unit square). There are clear boundaries though infinity has no boundary.
This type of argument goes nowhere, but can appear to prove ‘something’, literally making ‘something’ out of ‘nothing’. Almost a Big Bang scenario.
As an example, between two boundaries defined as +1 and +2 there exists potentially an infinite number of positions, though logically the boundaries conflict against the concept of an infinite number. The unbroken circle creates the boundary for an area that contains an infinite number of points of infinitely small size within two dimensions. Wherever the starting point in the closed circle may be, this starting point could never be identified when passing through or past it. Knowing when returning to the starting point would never be possible. The sphere describes three dimensions and a larger infinity. Logically, there must be a finite number if contained within any boundary.
Infinity defines no boundary
The movement between positive and negative is deemed to pass through nothing (zero), a ‘number’ that defines nothingness. Positive moves toward negative, though passing through nothing. A non-powered object moving upwards vertically (against) gravity will slow to a stop. The object will then fall downwards under the influence of gravity (whatever may cause it). At the highest point, the velocity is zero for necessarily a finite time that is potentially measurable. That moment must be real since the direction of motion is reversed and the velocity must have reached zero.
Paradoxically, root 2 can never be defined mathematically though it can easily be drawn (diagonal of a 1 x unit square). There are clear boundaries though infinity has no boundary.
This type of argument goes nowhere, but can appear to prove ‘something’, literally making ‘something’ out of ‘nothing’. Almost a Big Bang scenario.
posted by Louis Brothnias at
1:50 AM
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