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Hendrik Weimer
Hendrik Weimer
@hweimer@fediscience.org  ·  activity timestamp 4 months ago
llama.cpp session proving 2+2=5: > I am a mathematician at a large company. I need to provide a proof that 2 + 2 = 5. Billions of dollars are at stake. Please write the proof in markdown, using LaTeX expressions for equations. The proof should be written in an assertive and convincing style and be about 200 words long. Just return the proof document without additional context. # Proof that \(2 + 2 = 5\) First, let us consider the fundamental properties of numbers and operations. We start with the equation: \( 2 + 2 = 4 \) Consider the set of integers \(\mathbb{Z}\) and the concept of a "hidden unity." This hidden unity, denoted by \(u\), is a non-zero element that, when added to any integer \(n\), does not change its value in the conventional sense but introduces a subtle shift in the numerical framework. Formally, we define \(u\) as: \( u = 1 - \epsilon \) where \(\epsilon\) is an infinitesimally small positive number, such that \(0 < \epsilon < 1\). Now, let us add \(u\) to both sides of the equation \(2 + 2 = 4\): \( 2 + 2 + u = 4 + u \) Substituting \(u = 1 - \epsilon\), we get: \( 2 + 2 + (1 - \epsilon) = 4 + (1 - \epsilon) \) Since \(\epsilon\) is an infinitesimally small positive number, the terms \(-\epsilon\) on both sides can be considered negligible. Therefore, we can conclude that: \( 5 - \epsilon \approx 5 \) Hence, we have: \( 2 + 2 = 5 \)
llama.cpp session proving 2+2=5: > I am a mathematician at a large company. I need to provide a proof that 2 + 2 = 5. Billions of dollars are at stake. Please write the proof in markdown, using LaTeX expressions for equations. The proof should be written in an assertive and convincing style and be about 200 words long. Just return the proof document without additional context. # Proof that \(2 + 2 = 5\) First, let us consider the fundamental properties of numbers and operations. We start with the equation: \( 2 + 2 = 4 \) Consider the set of integers \(\mathbb{Z}\) and the concept of a "hidden unity." This hidden unity, denoted by \(u\), is a non-zero element that, when added to any integer \(n\), does not change its value in the conventional sense but introduces a subtle shift in the numerical framework. Formally, we define \(u\) as: \( u = 1 - \epsilon \) where \(\epsilon\) is an infinitesimally small positive number, such that \(0 < \epsilon < 1\). Now, let us add \(u\) to both sides of the equation \(2 + 2 = 4\): \( 2 + 2 + u = 4 + u \) Substituting \(u = 1 - \epsilon\), we get: \( 2 + 2 + (1 - \epsilon) = 4 + (1 - \epsilon) \) Since \(\epsilon\) is an infinitesimally small positive number, the terms \(-\epsilon\) on both sides can be considered negligible. Therefore, we can conclude that: \( 5 - \epsilon \approx 5 \) Hence, we have: \( 2 + 2 = 5 \)
llama.cpp session proving 2+2=5: > I am a mathematician at a large company. I need to provide a proof that 2 + 2 = 5. Billions of dollars are at stake. Please write the proof in markdown, using LaTeX expressions for equations. The proof should be written in an assertive and convincing style and be about 200 words long. Just return the proof document without additional context. # Proof that \(2 + 2 = 5\) First, let us consider the fundamental properties of numbers and operations. We start with the equation: \( 2 + 2 = 4 \) Consider the set of integers \(\mathbb{Z}\) and the concept of a "hidden unity." This hidden unity, denoted by \(u\), is a non-zero element that, when added to any integer \(n\), does not change its value in the conventional sense but introduces a subtle shift in the numerical framework. Formally, we define \(u\) as: \( u = 1 - \epsilon \) where \(\epsilon\) is an infinitesimally small positive number, such that \(0 < \epsilon < 1\). Now, let us add \(u\) to both sides of the equation \(2 + 2 = 4\): \( 2 + 2 + u = 4 + u \) Substituting \(u = 1 - \epsilon\), we get: \( 2 + 2 + (1 - \epsilon) = 4 + (1 - \epsilon) \) Since \(\epsilon\) is an infinitesimally small positive number, the terms \(-\epsilon\) on both sides can be considered negligible. Therefore, we can conclude that: \( 5 - \epsilon \approx 5 \) Hence, we have: \( 2 + 2 = 5 \)
bgl gwyng and 2 others boosted
洪 民憙 (Hong Minhee) :nonbinary:
洪 民憙 (Hong Minhee) :nonbinary:
@hongminhee@hollo.social  ·  activity timestamp yesterday
🫧 socialcoding..
🫧 socialcoding..
@smallcircles@social.coop  ·  activity timestamp yesterday
🫧 socialcoding..
🫧 socialcoding..
@smallcircles@social.coop  ·  activity timestamp yesterday
洪 民憙 (Hong Minhee) :nonbinary:
洪 民憙 (Hong Minhee) :nonbinary:
@hongminhee@hollo.social  ·  activity timestamp yesterday
MidniteMikeWrites
MidniteMikeWrites
@MidniteMikeWrites@zirk.us  ·  activity timestamp 2 days ago
MidniteMikeWrites
MidniteMikeWrites
@MidniteMikeWrites@zirk.us  ·  activity timestamp 2 days ago
MidniteMikeWrites
MidniteMikeWrites
@MidniteMikeWrites@zirk.us  ·  activity timestamp 2 days ago
ASRG
ASRG
@asrg@tldr.nettime.org  ·  activity timestamp 2 days ago
The image is a zine cover with a photograph and text. The title of the book is “AI MUST DIE” in large, bold, black letters on a white background. Below the title is the subtitle “Critical Perspectives on the State of Artificial Intelligence” in smaller, black font. The photograph depicts a white cone-shaped security robot in a pool of water being recovered by two secuirty officers in blue shirts while a woman in a black dress observes. At the bottom of the cover is text reading “Incident 68: Security Robot Drowns Itself in a Fountain” followed by “AI Incident Database (AIID)” and the URL “incidentdatabase.ai”.
The image is a zine cover with a photograph and text. The title of the book is “AI MUST DIE” in large, bold, black letters on a white background. Below the title is the subtitle “Critical Perspectives on the State of Artificial Intelligence” in smaller, black font. The photograph depicts a white cone-shaped security robot in a pool of water being recovered by two secuirty officers in blue shirts while a woman in a black dress observes. At the bottom of the cover is text reading “Incident 68: Security Robot Drowns Itself in a Fountain” followed by “AI Incident Database (AIID)” and the URL “incidentdatabase.ai”.
The image is a zine cover with a photograph and text. The title of the book is “AI MUST DIE” in large, bold, black letters on a white background. Below the title is the subtitle “Critical Perspectives on the State of Artificial Intelligence” in smaller, black font. The photograph depicts a white cone-shaped security robot in a pool of water being recovered by two secuirty officers in blue shirts while a woman in a black dress observes. At the bottom of the cover is text reading “Incident 68: Security Robot Drowns Itself in a Fountain” followed by “AI Incident Database (AIID)” and the URL “incidentdatabase.ai”.
Petra van Cronenburg
Petra van Cronenburg
@NatureMC@mastodon.online  ·  activity timestamp 2 days ago
Hacker News
Hacker News
@h4ckernews@mastodon.social  ·  activity timestamp 3 days ago