The hottest Logic Substack posts right now

And their main takeaways
Category
Top Philosophy Topics

What is Bayesian Statistics? The Beginner Math Guide (Part One)

The Software & Data Spectrum • 78 implied HN points • 13 Apr 23
🔬 Science Statistics Probability Logic Combinatorics
  1. Bayesian Statistics is used in various fields like Machine Learning, Engineering, Data Science, and more.
  2. Bayesian Thinking involves observing data, holding prior beliefs, forming hypotheses, gathering evidence, and comparing hypotheses.
  3. Probability is a way to measure belief strength, and calculating probabilities involves counting outcomes and using ratios of beliefs.
Get a weekly roundup of the best Substack posts, by hacker news affinity:

[Solution]Problem 78: Finding the Distance between 2 sets[Goldman Sachs]

Technology Made Simple • 59 implied HN points • 11 Mar 23
🕹 Technology Math Problem Solving Logic
  1. The post discusses a math problem involving finding the distance between two sets in an n-dimensional space of real numbers.
  2. It explains key terms such as |x| for distance from the origin and inf(D) for the lowest distance given two sets.
  3. The post offers a 7-day free trial for more content on technology problem-solving and solutions.

Aaron Lee's Master Framework: Axiom & Master Formula

Autodidact Obsessions • 4 implied HN points • 17 Feb 24
🔬 Science Logic Language Philosophy
  1. Aaron Lee's Master Framework explores the relationship between language and logic through his First Axiom, emphasizing the potentiality of language and how it evolves into actual meanings through various logical systems.
  2. The integration of Aaron Lee's Axiom with advanced logical systems like non-monotonic logic, mereology, fuzzy logic, quantum logic, paraconsistent logic, and substructural logic offers a structured model for understanding linguistic semantics and the transition from potential to actual meanings.
  3. The Master Formula resulting from this integration showcases the dynamic nature of belief revision, compositional insights, gradations of truth, probabilistic potential meanings, tolerance for contradictions, and contextual sensitivity, providing deeper insight into the complexities of language and semantics.

Computer Science Applications Of Aaron Lee Axiom, Extensions & Integrations Pt 3

Autodidact Obsessions • 4 implied HN points • 15 Feb 24
🕹 Technology Computer Science Logic Frameworks Empiricism Data
  1. The author worked on the discussed problems for 30 years, gaining a deep understanding before diving into specific terminology.
  2. Understanding the jargon allowed the author to quickly progress in relating logical paradigms to philosophical problems.
  3. Nesting the conceptual framework inside pragmatic empiricism produced similar results, while nesting pragmatic empiricism within the framework expanded capabilities.

Comprehensive Integration of Aaron Lee's First Axiom With Advanced Logical Systems

Autodidact Obsessions • 4 implied HN points • 13 Feb 24
🔬 Science Logic Philosophy Language Cognition
  1. This paper integrates various philosophic theories on language with systems like Kripke Semantics, Quantum Logic, and Mereology, encompassing all languages and symbolic logical systems.
  2. Aaron Lee's First Axiom suggests that until language is used, words exist in a state of quantum possibility, lacking fixed meanings, which challenges traditional views of semantics.
  3. The comprehensive integration of Lee's Axiom with advanced logical systems could potentially revolutionize fields like AI and computational linguistics by offering a universal framework for solving complex problems.

[Solution]Problem 70: Pow(x,n) [Amazon]

Technology Made Simple • 59 implied HN points • 23 Dec 22
🕹 Technology Math Logic Optimization Recursion
  1. The post discusses a solution to Problem 70, which involves calculating a number raised to a power using math, logic, optimization, and recursion.
  2. The problem statement requires implementing a function that calculates x raised to the power n, with specific input-output examples provided.
  3. Constraints for the problem include specific ranges for x and n, highlighting the importance of handling edge cases in the solution.

[Solution]Problem 56:Climbing Stairs[Amazon]

Technology Made Simple • 79 implied HN points • 16 Sep 22
🕹 Technology Dynamic Programming Logic Recursion Math
  1. The post discusses a solution for the climbing stairs problem with dynamic programming, logic, recursion, and math.
  2. The problem involves finding the number of distinct ways to climb to the top of a staircase by either taking 1 or 2 steps at a time.
  3. The post provides examples and constraints for the problem, along with a link to test the solution on Leetcode.

Problem 74: Find the First True in a Sorted Boolean Array [Stripe]

Technology Made Simple • 39 implied HN points • 09 Feb 23
🕹 Technology Logic Problem Solving Arrays
  1. The post discusses the problem of finding the first true value in a sorted boolean array, with a specific focus on the index of the first true element.
  2. It mentions industry news about layoffs in companies like Zoom and Disney, prompting readers to explore more about such topics.
  3. The writer emphasizes the release of a Tech Made Simple Ebook on Amazon and offers insights into the content and its accessibility.

Problem 56:Climbing Stairs[Amazon]

Technology Made Simple • 59 implied HN points • 15 Sep 22
🕹 Technology Dynamic Programming Logic Recursion Math
  1. The post discusses a problem related to climbing stairs, involving dynamic programming, logic, recursion, and math.
  2. The problem presents a scenario where you can climb a certain number of steps to reach the top, and you have to find the distinct ways to do so.
  3. Examples and constraints are given, along with a link to test your solution on Leetcode.

[Solution]Problem 67: Designing a Card Game Class [Facebook/Meta]

Technology Made Simple • 39 implied HN points • 02 Dec 22
🕹 Technology Logic Programming
  1. Designing classes for games involves creating functions like adding cards, getting card string representations, and comparing card values.
  2. When creating a card game class, it's important to think about expandability for accommodating new requirements in the future.
  3. Developing coding skills by working through problems like designing a card game class can be beneficial for building a strong foundation for a career in programming.

Problem 62: Arrange Robots by Model[Brilliant]

Technology Made Simple • 39 implied HN points • 27 Oct 22
🕹 Technology Logic Problem Solving Coding
  1. The post discusses a puzzle about arranging robots by model, focusing on logic and problem-solving skills without coding.
  2. The author encourages readers to fill out surveys, engage with the content, and consider a premium subscription for more benefits.
  3. There is a special request for readers to support the newsletter's visibility by recommending it on Substack, showcasing community engagement.

A Kingdom of Wisdom

CTOrly • 39 implied HN points • 08 Aug 22
📖 Philosophy Wisdom Logic People Mental models
  1. Leadership requires philosophy, not just logic, to navigate people's irrationality.
  2. Being reasonable often trumps being purely rational in dealing with people.
  3. Mental models are better tools than logical formulas for understanding and interacting with people.

Problem 55:Playlist with Buffer[Apple]

Technology Made Simple • 39 implied HN points • 07 Sep 22
🕹 Technology Dynamic Programming Logic Combinatorics
  1. The post discusses a problem related to creating a suitable music playlist for a road trip, requiring a certain number of songs and buffer between repeats.
  2. It emphasizes the importance of dynamic programming, logic, and combinatorics in solving the mentioned playlist problem.
  3. The post also includes requests to engage with and share the newsletter, showcasing the value of community support and feedback.

Problem 78: Finding the Distance between 2 sets[Goldman Sachs]

Technology Made Simple • 19 implied HN points • 09 Mar 23
🕹 Technology Math Problem Solving Logic
  1. The problem discusses finding the distance between two sets in math and problem-solving contexts, with connections to logic and generation.
  2. Terms like R^n and |x| are explained, providing insight into real number n-dimensional spaces and calculating distances.
  3. The post encourages solving rare interview-style questions, useful for senior positions or competitive programs, showcasing the value of handling diverse problem scenarios.

[Solution]Problem 74: Find the First True in a Sorted Boolean Array [Stripe]

Technology Made Simple • 19 implied HN points • 10 Feb 23
🕹 Technology Logic Problem Solving Arrays
  1. The post discusses a problem of finding the first true in a sorted boolean array, sharing a solution and inviting readers to think about a key concept that helps in solving more challenging problems.
  2. The key concept highlighted in the post aims to enhance fundamental concepts, problem-solving skills, and preparation for Leetcode-style interviews.
  3. By focusing on solving problems and reinforcing fundamental concepts, one can better prepare for coding interviews and enhance problem-solving abilities.

Nonsense, Irrelevance, and Invalidity

Ethics Under Construction • 5 HN points • 29 Oct 23
📖 Philosophy Knowledge Free will Morality Ethics Logic
  1. Certain philosophical statements can be nonsense, like the liar's paradox, lacking basic truth-value and conveying no information.
  2. Statements can also be irrelevant, failing to provide any useful information, like stating obvious facts or redundant phrases.
  3. Logical gaps, like the is-ought gap, show that certain ideas are invalid and should be disregarded as meaningless.

[Solution]Problem 41: Create your own Datastructure with O(1) Time complexity (Dropbox)

Technology Made Simple • 39 implied HN points • 11 Jun 22
🕹 Technology Data Structures Logic Programming Algorithms Software Engineering
  1. Creating a data structure with O(1) time complexity involves implementing functions like plus, minus, get_max, and get_min efficiently.
  2. Utilizing a Doubly Linked List allows for maintaining a sorted collection of keys, enabling quick access to elements with the lowest and highest values.
  3. Developing algorithms to handle key count increments and decrements while preserving the sorted order of the linked list is crucial for a functional solution.

[Solution]Problem 38: Power Function[Stripe]

Technology Made Simple • 39 implied HN points • 20 May 22
🕹 Technology Math Logic Optimization Recursion
  1. The problem focuses on implementing a power function without using built-in functions, showcasing the importance of base mathematical operations.
  2. Starting with a simple brute-force solution can lead to more efficient solutions and impress interviewers by demonstrating a structured problem-solving approach.
  3. Optimizations can be made by leveraging mathematics to improve the linear time complexity of the solution.

Problem 38: Power Function[Stripe]

Technology Made Simple • 39 implied HN points • 19 May 22
🕹 Technology Math Logic Optimization Recursion
  1. The post discusses implementing a power function that calculates x raised to the power n without using built-in functions, focusing on math, logic, optimization, and recursion.
  2. Examples of the power function implementation are provided with input-output pairs to demonstrate how it should work.
  3. There is a special request for feedback and sharing of topics for future focus, along with encouragement to explore additional content and subscribe for further tips and assistance.

Symbolic Mereological Expression Of A New Theory On Language

Autodidact Obsessions • 1 HN point • 10 Feb 24
🔬 Science Language Logic Symbolism Philosophy
  1. Language exists in a quantum state of potential meanings until words are used, altering their semantic intentions.
  2. The application of words changes language from potential to actual, solidifying their meanings into rigid semantic intentions.
  3. A mereological framework views language as a whole composed of parts (words) and considers the relationships between these parts both before and after their usage.

The 15 Hats Problem

Metarational • 59 implied HN points • 23 Apr 21
🔬 Science Puzzle Strategy Mathematics Logic
  1. The 15 Hats Problem is a complex brain teaser that involves guessing the color of hats based on a strategy involving bitwise XOR operations.
  2. Strategies for simpler versions of the problem, like 3 hats, helped in understanding and developing a winning strategy for the 15 hats scenario.
  3. The key to solving the 15 Hats Problem involves clever observations about modular arithmetic, powers of 2, and the use of bitwise XOR operations.

[Solution]Problem 45:Robot Bounded In Circle [Amazon]

Technology Made Simple • 19 implied HN points • 07 Jul 22
🕹 Technology Math Logic Functions Problem Solving Coding
  1. Math and logic are essential in problem-solving as they can help analyze and solve complex scenarios.
  2. Understanding periodicity in functions can be applied to analyze repetitive patterns in problems with infinite instructions.
  3. Analyzing the impact of direction and location in a periodic function can reveal insights on the behavior of a system over time, leading to accurate solutions.

[Solution]Problem 39: Find the Celebrity[Pintrest]

Technology Made Simple • 19 implied HN points • 27 May 22
🕹 Technology Math Logic Coding Algorithms
  1. The problem involves finding a celebrity at a party who everyone knows, but who doesn't know anyone in return. A brute force approach of comparing every pair of people at the party can be used, but it is slow with O(N^2) complexity.
  2. It is essential to analyze why a solution is inefficient to brainstorm and develop an optimal solution efficiently. By utilizing constraints given in the problem, like the knowledge asymmetry between the celebrity and others, the time and space complexity can be significantly reduced to O(N) and O(1) respectively.
  3. In problem-solving, understanding and applying constraints effectively can lead to substantial improvements in both time and space complexity, making solutions more efficient and optimal.