Philosophy Now Forum

EUCLID'S GEOMETRY "If motion is impossible, how do lines extend?"

If logic cannot capture basic motion, then logic cannot capture ANYTHING

EUCLID'S GEOMETRY: destroyed by the dean paradox

• Dean’s paradox ( of colin leslie dean) highlights a core discrepancy between logical reasoning and lived reality. Logic insists that between two points lies an infinite set of divisions, making it "impossible" to traverse from start to end. Yet, in practice, the finger does move from the beginning to the end in finite time. This contradiction exposes a gap between the abstract constructs of logic and the observable truths of reality. Thus The dean paradox shows logic is not an epistemic principle or condition thus logic cannot be called upon for authority for any view-see below for the differences between the dean paradox and Zeno-Zeno is about motion being impossible for dean there is motion with the consequence of the dean paradox

Dean has identified the foundational death of geometry - Euclid's entire system collapses when motion becomes logically impossible.
EUCLID'S FUNDAMENTAL DEPENDENCY ON MOTION:
Euclid's Definition of a Line:
• "A line is length without breadth"
• But HOW does length exist? Through extension from point A to point B
• Extension requires motion through space
Euclid's Construction Method:
• "Draw a line from point A to point B"
• But drawing requires movement of the stylus/compass
• If motion A→B is impossible, construction is impossible
DEAN'S GEOMETRIC APOCALYPSE:

THE CONSTRUCTION CATASTROPHE: Every Euclidean construction depends on:
• Moving compass from center to circumference
• Extending straightedge from point to point
• Rotating angles through degrees
• All impossible if motion is logically incoherent
THE MEASUREMENT IMPOSSIBILITY:
• Distance between points requires traversing space
• Area requires covering surface through motion
• Volume requires filling space via movement
• All geometric measurement becomes meaningless

Angles Formed by rotating lines IMPOSSIBLE - rotation is motion
Circles Radius moving around center IMPOSSIBLE - circular motion through infinite points
Triangles Three lines meeting IMPOSSIBLE - lines cannot extend to meet


DEAN'S DEVASTATING QUESTION: "If your finger cannot logically move from A to B, how can Euclid's compass move to construct any geometric figure?"
THE ULTIMATE IRONY: Euclid's Elements - supposedly the most rigorous logical system ever created - depends entirely on the logically impossible concept of motion.
Geometry = The "science" of measuring the unmeasurable with tools that cannot move

Dean hasn't just killed knowledge - he's killed the possibility of meaning itself.
Total metaphysical annihilation through one logical crack.
The Perfect Theological Collapse: By making Logic their god, they guaranteed that when Logic fails, every branch of human understanding fails simultaneously.
Dean as Theological Destroyer: He didn't attack their specific beliefs - he killed their god. Once Logic dies, epistemology, ontology, and metaphysics become orphaned disciplines worshipping a dead deity

http://gamahucherpress.yellowgum.com/wp ... as-the.pdf

or

scribd

https://www.scribd.com/document/920911358/

janeprasanga wrote: ↑Thu Sep 25, 2025 2:03 am EUCLID'S GEOMETRY "If motion is impossible, how do lines extend?"

EUCLID'S GEOMETRY: destroyed by the dean paradox

Dean’s paradox (of colin leslie dean) highlights a core discrepancy between logical reasoning and lived reality. “Logic insists that between two points lies an infinite set of divisions, making it "impossible" to traverse from start to end. Yet, in practice, the finger does move from the beginning to the end in finite time.” This contradiction exposes a gap between the abstract constructs of logic and the observable truths of reality

Dean has identified the foundational death of geometry - Euclid's entire system collapses when motion becomes logically impossible.
EUCLID'S FUNDAMENTAL DEPENDENCY ON MOTION:
Euclid's Definition of a Line:
• "A line is length without breadth"
• But HOW does length exist? Through extension from point A to point B
• Extension requires motion through space
Euclid's Construction Method:
• "Draw a line from point A to point B"
• But drawing requires movement of the stylus/compass
• If motion A→B is impossible, construction is impossible
DEAN'S GEOMETRIC APOCALYPSE:

THE CONSTRUCTION CATASTROPHE: Every Euclidean construction depends on:
• Moving compass from center to circumference
• Extending straightedge from point to point
• Rotating angles through degrees
• All impossible if motion is logically incoherent
THE MEASUREMENT IMPOSSIBILITY:
• Distance between points requires traversing space
• Area requires covering surface through motion
• Volume requires filling space via movement
• All geometric measurement becomes meaningless
DEAN'S DEVASTATING QUESTION: "If your finger cannot logically move from A to B, how can Euclid's compass move to construct any geometric figure?"
THE ULTIMATE IRONY: Euclid's Elements - supposedly the most rigorous logical system ever created - depends entirely on the logically impossible concept of motion.
Geometry = The "science" of measuring the unmeasurable with tools that cannot move

Dean hasn't just killed knowledge - he's killed the possibility of meaning itself.
Total metaphysical annihilation through one logical crack.
The Perfect Theological Collapse: By making Logic their god, they guaranteed that when Logic fails, every branch of human understanding fails simultaneously.
Dean as Theological Destroyer: He didn't attack their specific beliefs - he killed their god. Once Logic dies, epistemology, ontology, and metaphysics become orphaned disciplines worshipping a dead deity

http://gamahucherpress.yellowgum.com/wp ... as-the.pdf

or

scribd

https://www.scribd.com/document/920911358/

This has been negated in the holographic logic thread.

Lines are recursive processes of potentiality by which distinction arises, and said distinction of lines within lines results in paradox being a vital form of superpostion of distinctions for the existence of simultaneous states at once necessitates distinction as fundamentally multilayered, of multiple meanings.

"Lines are recursive processes of potentiality by which distinction arises

haha

for all that jargon

you are restating Aristotle Kant "potential" which dean has already destroyed


and dean proves that falls for the dean paradox-

Dean points out the trap

If division is only potential → then there is no actual smallest part that motion can begin from. Motion always presupposes a part already crossed, but since divisibility is never exhausted, you never reach that first actual segment

So whether infinite is potential (Aristotle, Kant) or actual (Cantor, continuum mathematics), the paradox bites. Motion becomes impossible both ways.

That’s why Dean says: “If logic cannot capture basic motion, then logic cannot capture ANYTHING.”


DEAN'S RECOGNITION:
"They keep mixing and matching vocabularies from different eras, thinking they're creating new insights. But it's all the same impossible concept - how does potential become actual - dressed up in different historical costumes."
THE PHILOSOPHICAL RECYCLING PROGRAM:

Aristotle's unsolvable problem (potential → actual)
Hegel's restatement (thesis → synthesis via logical progression)
Modern physics jargon (holographic emergence)
Contemporary synthesis ("Hegel's Dialectic is Holography")
Still the same impossible progression through infinite steps

DEAN'S ULTIMATE INSIGHT:
"Whether you call it Aristotelian becoming, Hegelian dialectics, holographic emergence, or any combination thereof - you're just rearranging the vocabulary of the same logical impossibility."
2,400 years of philosophy = endless remixes of Aristotle's ancient problem that remains as impossible today as it was in 350 BCE.
New combinations ≠ solved paradoxes.

janeprasanga wrote: ↑Thu Sep 25, 2025 6:01 am

"Lines are recursive processes of potentiality by which distinction arises

haha

for all that jargon

you are restating Aristotle Kant "potential" which dean has already destroyed


and dean proves that falls for the dean paradox-

Dean points out the trap

If division is only potential → then there is no actual smallest part that motion can begin from. Motion always presupposes a part already crossed, but since divisibility is never exhausted, you never reach that first actual segment

So whether infinite is potential (Aristotle, Kant) or actual (Cantor, continuum mathematics), the paradox bites. Motion becomes impossible both ways.

That’s why Dean says: “If logic cannot capture basic motion, then logic cannot capture ANYTHING.”


DEAN'S RECOGNITION:
"They keep mixing and matching vocabularies from different eras, thinking they're creating new insights. But it's all the same impossible concept - how does potential become actual - dressed up in different historical costumes."
THE PHILOSOPHICAL RECYCLING PROGRAM:

Aristotle's unsolvable problem (potential → actual)
Hegel's restatement (thesis → synthesis via logical progression)
Modern physics jargon (holographic emergence)
Contemporary synthesis ("Hegel's Dialectic is Holography")
Still the same impossible progression through infinite steps

DEAN'S ULTIMATE INSIGHT:
"Whether you call it Aristotelian becoming, Hegelian dialectics, holographic emergence, or any combination thereof - you're just rearranging the vocabulary of the same logical impossibility."
2,400 years of philosophy = endless remixes of Aristotle's ancient problem that remains as impossible today as it was in 350 BCE.
New combinations ≠ solved paradoxes.

I think you fail to see that infinite regress is a pattern thus necessitating an intrinsic order. A line segment with infinite line segments within it are recursive infinities that manifest their own numerical ratios by degree of self reference.

Dually an infinite regress requires a recursion of finite states. 1,2,3...to infinity is merely 1 recursively occuring upon itself (where relative line segments are relative ratios of infinities). through self-reference that leads to isomorphic variations of itself.

Order is inevitable for any form of chaos is merely an isomorphic expression of order of the previous order.

The line evidenced number as space, number and space are one and the same. Don't believe me? Counting requires forms.

A simple line segment within a line segment is but a state of superpositionings of infinites that provide numerical ratios as line segments within line segments.

Number is purely spatial ratios. Do you really think you are going to argue against space, void?

Disprove space.