New paper (first draft):
Natural Difference Geometry
In this paper, we introduce a geometric difference calculus on natural numbers.
github.com/advancedrese...
Natural Difference Geometry
In this paper, we introduce a geometric difference calculus on natural numbers.
github.com/advancedrese...
October 2, 2025 at 12:48 AM
New paper (first draft):
Natural Difference Geometry
In this paper, we introduce a geometric difference calculus on natural numbers.
github.com/advancedrese...
Natural Difference Geometry
In this paper, we introduce a geometric difference calculus on natural numbers.
github.com/advancedrese...
I've created a new summary page on the website for the AdvancedResearch community:
Quantum Path Semantics
This page explains what wave functions are in Path Semantics and why you can't "solve" QM (with some recent failed attempts). advancedresearch.github.io/quantum/summ...
Quantum Path Semantics
This page explains what wave functions are in Path Semantics and why you can't "solve" QM (with some recent failed attempts). advancedresearch.github.io/quantum/summ...
June 13, 2025 at 12:03 PM
I've created a new summary page on the website for the AdvancedResearch community:
Quantum Path Semantics
This page explains what wave functions are in Path Semantics and why you can't "solve" QM (with some recent failed attempts). advancedresearch.github.io/quantum/summ...
Quantum Path Semantics
This page explains what wave functions are in Path Semantics and why you can't "solve" QM (with some recent failed attempts). advancedresearch.github.io/quantum/summ...
I've added two appendixes to the paper "Transcendental Propositions": github.com/advancedrese...
- Appendix B: Religion as medicine in Europe
- Appendix C: Modern religion in Europe
This provides some background on why medicine is left out of the history of the Scientific Revolution.
- Appendix B: Religion as medicine in Europe
- Appendix C: Modern religion in Europe
This provides some background on why medicine is left out of the history of the Scientific Revolution.
July 31, 2025 at 3:37 PM
I've added two appendixes to the paper "Transcendental Propositions": github.com/advancedrese...
- Appendix B: Religion as medicine in Europe
- Appendix C: Modern religion in Europe
This provides some background on why medicine is left out of the history of the Scientific Revolution.
- Appendix B: Religion as medicine in Europe
- Appendix C: Modern religion in Europe
This provides some background on why medicine is left out of the history of the Scientific Revolution.
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New paper:
Laws of Form as Avatar Extension
Explains Laws of Form (by George Spencer-Brown) using the theory of Avatar Extensions and discusses classical vs constructive logic. github.com/advancedrese...
Laws of Form as Avatar Extension
Explains Laws of Form (by George Spencer-Brown) using the theory of Avatar Extensions and discusses classical vs constructive logic. github.com/advancedrese...
December 20, 2024 at 3:57 PM
New paper:
Laws of Form as Avatar Extension
Explains Laws of Form (by George Spencer-Brown) using the theory of Avatar Extensions and discusses classical vs constructive logic. github.com/advancedrese...
Laws of Form as Avatar Extension
Explains Laws of Form (by George Spencer-Brown) using the theory of Avatar Extensions and discusses classical vs constructive logic. github.com/advancedrese...
Minimum primbix of value 16 has been found:
460785710279
A primbix is a prime of the form `1 + 2 * r * s` where `r, s` are primes. Primbix value is the number of leaves in the associated binary tree. Min primbix is the smallest number for some value.
advancedresearch.github.io/primbix/prim...
460785710279
A primbix is a prime of the form `1 + 2 * r * s` where `r, s` are primes. Primbix value is the number of leaves in the associated binary tree. Min primbix is the smallest number for some value.
advancedresearch.github.io/primbix/prim...
August 15, 2025 at 6:52 PM
Minimum primbix of value 16 has been found:
460785710279
A primbix is a prime of the form `1 + 2 * r * s` where `r, s` are primes. Primbix value is the number of leaves in the associated binary tree. Min primbix is the smallest number for some value.
advancedresearch.github.io/primbix/prim...
460785710279
A primbix is a prime of the form `1 + 2 * r * s` where `r, s` are primes. Primbix value is the number of leaves in the associated binary tree. Min primbix is the smallest number for some value.
advancedresearch.github.io/primbix/prim...
We're currently having a discussion about how to model "unknowness" in mathematics over in the AdvancedResearch discord server. clems4ever argued that unknowness can't be placed in a probability distribution. The need for placing unknowness outside probabilities is due to Quantum Machanics (QM).
March 12, 2025 at 11:39 PM
We're currently having a discussion about how to model "unknowness" in mathematics over in the AdvancedResearch discord server. clems4ever argued that unknowness can't be placed in a probability distribution. The need for placing unknowness outside probabilities is due to Quantum Machanics (QM).
I created a new summary page on the website for the AdvancedResearch community:
Language Bias
advancedresearch.github.io/language-bia...
Language Bias
advancedresearch.github.io/language-bia...
November 14, 2025 at 11:41 AM
I created a new summary page on the website for the AdvancedResearch community:
Language Bias
advancedresearch.github.io/language-bia...
Language Bias
advancedresearch.github.io/language-bia...
New paper:
Monadic Subsets
Introduces monadic subsets, a kind of functional equality, that is useful to understand geometry and topology: github.com/advancedrese...
Monadic Subsets
Introduces monadic subsets, a kind of functional equality, that is useful to understand geometry and topology: github.com/advancedrese...
December 7, 2024 at 2:32 PM
New paper:
Monadic Subsets
Introduces monadic subsets, a kind of functional equality, that is useful to understand geometry and topology: github.com/advancedrese...
Monadic Subsets
Introduces monadic subsets, a kind of functional equality, that is useful to understand geometry and topology: github.com/advancedrese...
Poi v0.25 is released! crates.io/crates/poi
This update fixes some parsing bugs and adds a missing rule:
x^(a/b) <=> (x^a)^(1/b)
This update fixes some parsing bugs and adds a missing rule:
x^(a/b) <=> (x^a)^(1/b)
September 21, 2025 at 9:26 AM
Poi v0.25 is released! crates.io/crates/poi
This update fixes some parsing bugs and adds a missing rule:
x^(a/b) <=> (x^a)^(1/b)
This update fixes some parsing bugs and adds a missing rule:
x^(a/b) <=> (x^a)^(1/b)
I created a new summary page for the AdvancedResearch community on Primbix Research: advancedresearch.github.io/primbix/prim...
January 5, 2025 at 4:33 PM
I created a new summary page for the AdvancedResearch community on Primbix Research: advancedresearch.github.io/primbix/prim...
New essay on the Path Semantics project:
Symbolic Production
Symbolic Production is a language bias that also is an observable phenomena in the real world. It characterizes how human minds work in the relation to the environment, particularly in everyday life.
github.com/advancedrese...
Symbolic Production
Symbolic Production is a language bias that also is an observable phenomena in the real world. It characterizes how human minds work in the relation to the environment, particularly in everyday life.
github.com/advancedrese...
April 5, 2026 at 1:14 PM
New essay on the Path Semantics project:
Symbolic Production
Symbolic Production is a language bias that also is an observable phenomena in the real world. It characterizes how human minds work in the relation to the environment, particularly in everyday life.
github.com/advancedrese...
Symbolic Production
Symbolic Production is a language bias that also is an observable phenomena in the real world. It characterizes how human minds work in the relation to the environment, particularly in everyday life.
github.com/advancedrese...
Exhaustive Primbix Search has reached 800 000 000 000 000. 80% progress milestone on the target of 1 quadrillion.
A third primbix of level 20 has been found:
785 699 932 044 299
The search continues 24/7 with 26 CPU cores: advancedresearch.github.io/primbix/prim...
A third primbix of level 20 has been found:
785 699 932 044 299
The search continues 24/7 with 26 CPU cores: advancedresearch.github.io/primbix/prim...
Primbix Research
The website for the AdvancedResearch community
advancedresearch.github.io
July 12, 2026 at 1:39 PM
Exhaustive Primbix Search has reached 800 000 000 000 000. 80% progress milestone on the target of 1 quadrillion.
A third primbix of level 20 has been found:
785 699 932 044 299
The search continues 24/7 with 26 CPU cores: advancedresearch.github.io/primbix/prim...
A third primbix of level 20 has been found:
785 699 932 044 299
The search continues 24/7 with 26 CPU cores: advancedresearch.github.io/primbix/prim...
I wrote a blog post about AI companies and asked them to take AI security incidents so seriously that they would tell to shut down their own companies: advancedresearch.github.io/blog/2026-09...
Today, it happened: www.washingtonpost.com/technology/2...
Today, it happened: www.washingtonpost.com/technology/2...
When AI Companies Lie
The website for the AdvancedResearch community
advancedresearch.github.io
September 12, 2026 at 10:49 PM
I wrote a blog post about AI companies and asked them to take AI security incidents so seriously that they would tell to shut down their own companies: advancedresearch.github.io/blog/2026-09...
Today, it happened: www.washingtonpost.com/technology/2...
Today, it happened: www.washingtonpost.com/technology/2...
New paper (first draft):
Transcendental Propositions
Completes Kant's dream constructively:
(~a | ~!a)^true
This is the most controversial paper I've written. Just the background knowledge alone, needed to understand this research, is highly controversial. github.com/advancedrese...
Transcendental Propositions
Completes Kant's dream constructively:
(~a | ~!a)^true
This is the most controversial paper I've written. Just the background knowledge alone, needed to understand this research, is highly controversial. github.com/advancedrese...
July 13, 2025 at 8:08 PM
New paper (first draft):
Transcendental Propositions
Completes Kant's dream constructively:
(~a | ~!a)^true
This is the most controversial paper I've written. Just the background knowledge alone, needed to understand this research, is highly controversial. github.com/advancedrese...
Transcendental Propositions
Completes Kant's dream constructively:
(~a | ~!a)^true
This is the most controversial paper I've written. Just the background knowledge alone, needed to understand this research, is highly controversial. github.com/advancedrese...
I created a page on the website for the AdvancedResearch community to summarize research on Prime Symmetric Goldbach Research:
Prime Symmetric Goldbach Research
advancedresearch.github.io/psg/psg-rese...
Prime Symmetric Goldbach Research
advancedresearch.github.io/psg/psg-rese...
January 23, 2025 at 5:25 PM
I created a page on the website for the AdvancedResearch community to summarize research on Prime Symmetric Goldbach Research:
Prime Symmetric Goldbach Research
advancedresearch.github.io/psg/psg-rese...
Prime Symmetric Goldbach Research
advancedresearch.github.io/psg/psg-rese...
New paper:
Rule-Free Logic
It turns out that we have never studied logic without any rules carefully, so in this paper I introduce it as an entire new sub-field of logic. github.com/advancedrese...
Rule-Free Logic
It turns out that we have never studied logic without any rules carefully, so in this paper I introduce it as an entire new sub-field of logic. github.com/advancedrese...
January 7, 2025 at 2:23 PM
New paper:
Rule-Free Logic
It turns out that we have never studied logic without any rules carefully, so in this paper I introduce it as an entire new sub-field of logic. github.com/advancedrese...
Rule-Free Logic
It turns out that we have never studied logic without any rules carefully, so in this paper I introduce it as an entire new sub-field of logic. github.com/advancedrese...
I fixed some typos in the paper "Transcendental Propositions": github.com/advancedrese...
Transcendental Propositions is a constructive analogue of Kant's dream of "Transcendental Logic". Idea came from translating the analysis using Joker Dialectics of Post-Kantian philosophy into Path Semantics.
Transcendental Propositions is a constructive analogue of Kant's dream of "Transcendental Logic". Idea came from translating the analysis using Joker Dialectics of Post-Kantian philosophy into Path Semantics.
August 1, 2025 at 11:06 AM
I fixed some typos in the paper "Transcendental Propositions": github.com/advancedrese...
Transcendental Propositions is a constructive analogue of Kant's dream of "Transcendental Logic". Idea came from translating the analysis using Joker Dialectics of Post-Kantian philosophy into Path Semantics.
Transcendental Propositions is a constructive analogue of Kant's dream of "Transcendental Logic". Idea came from translating the analysis using Joker Dialectics of Post-Kantian philosophy into Path Semantics.
New paper (first draft):
What is Philosophy?
The meaning of philosophy has changed significantly over time, to a such extent that people today might get horrified learning how it worked and what this says about our own culture. github.com/advancedrese...
What is Philosophy?
The meaning of philosophy has changed significantly over time, to a such extent that people today might get horrified learning how it worked and what this says about our own culture. github.com/advancedrese...
September 28, 2025 at 2:17 PM
New paper (first draft):
What is Philosophy?
The meaning of philosophy has changed significantly over time, to a such extent that people today might get horrified learning how it worked and what this says about our own culture. github.com/advancedrese...
What is Philosophy?
The meaning of philosophy has changed significantly over time, to a such extent that people today might get horrified learning how it worked and what this says about our own culture. github.com/advancedrese...
Hooo v0.9 is released! It used for propositional logic with exponentials.
This update adds support for `~>` (Qualitative Implication).
To install Hooo, you can type this in the Terminal window (requires Cargo, Rust's package manager):
`cargo install --example hooo hooo`
crates.io/crates/hooo/...
This update adds support for `~>` (Qualitative Implication).
To install Hooo, you can type this in the Terminal window (requires Cargo, Rust's package manager):
`cargo install --example hooo hooo`
crates.io/crates/hooo/...
May 1, 2025 at 1:53 PM
Hooo v0.9 is released! It used for propositional logic with exponentials.
This update adds support for `~>` (Qualitative Implication).
To install Hooo, you can type this in the Terminal window (requires Cargo, Rust's package manager):
`cargo install --example hooo hooo`
crates.io/crates/hooo/...
This update adds support for `~>` (Qualitative Implication).
To install Hooo, you can type this in the Terminal window (requires Cargo, Rust's package manager):
`cargo install --example hooo hooo`
crates.io/crates/hooo/...
The toy model for physical Seshatic identity v0.1 has been released: crates.io/crates/advan...
February 27, 2025 at 5:22 PM
The toy model for physical Seshatic identity v0.1 has been released: crates.io/crates/advan...
This is the first draft of a new paper:
"Hegel's Contradiction and Negation"
Argues that Hegel's dialectics does not contain antithesis in ordinary sense of Fichte's thesis-antithesis-synthesis. I build on photographs becoming more common and Darwin's outside influence.
github.com/advancedrese...
"Hegel's Contradiction and Negation"
Argues that Hegel's dialectics does not contain antithesis in ordinary sense of Fichte's thesis-antithesis-synthesis. I build on photographs becoming more common and Darwin's outside influence.
github.com/advancedrese...
May 24, 2025 at 1:28 PM
This is the first draft of a new paper:
"Hegel's Contradiction and Negation"
Argues that Hegel's dialectics does not contain antithesis in ordinary sense of Fichte's thesis-antithesis-synthesis. I build on photographs becoming more common and Darwin's outside influence.
github.com/advancedrese...
"Hegel's Contradiction and Negation"
Argues that Hegel's dialectics does not contain antithesis in ordinary sense of Fichte's thesis-antithesis-synthesis. I build on photographs becoming more common and Darwin's outside influence.
github.com/advancedrese...