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- Number Theory
- Probability
- Everyday Math
- Classical Mechanics
- Electricity and Magnetism
- Computer Science
- Quantitative Finance

Take a guided, problem-solving based approach to learning Logic. These compilations provide unique perspectives and applications you won't find anywhere else.

## What's inside

- Introduction
- Puzzles and Riddles
- Multi-Level Thinking
- The Rational Detective
- Syllogisms and Sets
- Logic Machines
- Arithmetic With Logic Gates
- Propositional Logic
- First-Order Logic

## Joy of Problem Solving

- Intro to Problem Solving
- Coin Rearrangements
- Truth Tellers and Liars
- Operator Searches
- Matchstick Puzzles

## Community Wiki

Browse through thousands of Logic wikis written by our community of experts.

- Truth-Tellers and Liars
- Cryptogram - Problem Solving
- Solving Propositional Logic Word Problem
- Mind Reading with Math
- Information Compression
- K-level thinking
- Chess Puzzles
- Arithmetic Puzzles - Operator Search
- Arithmetic Puzzles - Fill in the Blanks
- Elimination Grids
- Grid Puzzles
- Combinatorial Games - Definition
- Combinatorial Games - Winning Positions
- Tic Tac Toe
- Sprague Grundy Theorem
- Chess Puzzles - Reduced Games
- Chess Puzzles - Opening Strategies
- Chess Puzzles - Rook Strategies
- Rook Polynomial
- Game Theory
- Nash Equilibrium
- Zero-Sum Games
- Prisoner's Dilemma
- Braess' Paradox
- Utility Functions
- Cognitive Bias
- Monty Hall Problem
- Birthday Problem
- Two-Envelope Paradox
- Simpson's Paradox
- Berkson's Paradox
- Newcomb's Paradox
- Benford's Law
- Mathematics of Voting
- Survivorship Bias
- Russell's Paradox
- Zeno's Paradox
- Gabriel's Horn
- Truth Tables
- Proof by Contradiction
- Mathematical Logic and Computability
- Mathematical Logic and Computability II (continuation)
- Propositional Logic Using Algebra
- Venn Diagram
- Predicate Logic

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How many letters are in ticket?

## Gizmodo Monday Puzzle: Can You Solve This Brutally Hard Logic Puzzle?

A magic store sells truth-telling machines. alas, one of them is broken..

## Puzzle #11: Smullyan’s Truth Machines

Discuss your thoughts in the comments, and I’ll be back next week with the solution and a new puzzle. Do you know a cool puzzle that I should cover here? Send it to me at [email protected]

## Solution to Puzzle #10: Physics Stumpers

Last week, I left you with two puzz les from the physical world. Shout-out to Spessartine for giving good, concise explanations for both puzzles.

The first challenge asked:

- You have a piping hot cup of coffee that’s too hot to drink. You can either pour a splash of cold milk into it and then let it sit for 10 minutes, or first let it sit for 10 minutes and then add the milk. In which scenario will the coffee end up cooler, or are they equivalent? In both scenarios, assume you pour the same amount of milk and it is the same temperature.

The coffee will be cooler if you first let it sit for 10 minutes and only then pour the milk in. There are two ways that the coffee loses heat. One is by dissipating into the environment, and the other is by transferring heat to the cold milk until they mix and become one (cooler) temperature. Critically, things dissipate heat into the environment faster the hotter they are. So when the coffee is at its hottest, it’s losing heat very quickly. Adding milk right away slows this dissipation, and instead that early heat gets transferred to the milk and stays inside the mug. For cooler coffee, it’s better to let it lose as much heat as it can to the air before introducing milk.

The second question:

- You’re in a canoe in the middle of a pond and you brought a rock with you. You pick up the rock, drop it into the water, and watch it sink to the bottom. Does the water level of the pond rise or fall (however imperceptibly) when you do this, or does it stay the same?

The water level falls when you drop the rock into the pond. A submerged object displaces its volume. In other words, imagine the rock were made of water and we poured that water into the pond. That would raise the level of the pond exactly the same amount as submerging the rock does. A floating object, on the other hand, displaces its weight in water. This means that when the rock is in the canoe, if the rock weighs 1 pound, then it contributes a pound’s worth of water to the height of the pond. So the question becomes: which is more—an amount of water equal to the volume of the rock or an amount of water equal to the weight of the rock? Weight wins this competition. In fact, we know this because the rock sinks. Ordinary objects sink in water precisely when it would take more water to equal their weight than to equal their volume. If the rock had been something much less dense, like a big airy pumice stone, then its volume in water could exceed its weight in water, and such a stone would have floated.

Ice floats in water. For a neat bonus teaser, what happens to the water level in a glass when the ice melts? Does it rise, fall, or stay the same? Let me know what you think in the comments.

Last week, I posed a bonus poker question in the solution section, courtesy of reader Joshua Lehrer: In Texas hold ‘em against one opponent, imagine you get to pick which two cards you get dealt and which two cards they get dealt. Then the dealer flips the five community cards, with no betting between them (maybe you’re all in). Which cards should you choose for yourself and for your opponent to maximize your chances of winning? My gut instinct was to pick the best hand for myself, (two aces) and the worst hand for my opponent (a 7 and a 2 that don’t share a suit). It turns out that you can do better when you get to pick both hands. Shout-out to reader Donnie from Las Vegas, who emailed me the correct answer. The answer is to give yourself two kings and give your opponent a king and a 2, where the 2 shares a suit with one of your kings. Awfully unexpected! Apparently, this gives the side with the two kings a 94.16% chance of winning, whereas two aces versus the 7 and the 2 only gives an 88.74% chance of winning.

## 5 Logical Puzzles That Will Bend Your Brain

March 16, 2021 by Anthony Persico

## 5 Logical Puzzles That Will Bend Your Brain (Answers Included!)

A Post By: Anthony Persico

Are you looking to take on some fun and challenging logical puzzles and put your brain power to the test?

Attempting to solve logic puzzles is one of the best ways to improve your problem-solving and logical thinking skills while having lots of fun at the same time.

Today’s post shares a collection of 5 logical puzzles for kids and adults that gradually progress in difficulty—and there’s also a special bonus puzzle that has been stumping people for over 100 years!

Note that the solution to each logic puzzle is included at the bottom of the post (we recommend trying all of the problems on your own first and then checking to see if your answers are correct afterwards).

Are you ready to get started?

Some of these puzzles can be solved in under one minute, while others are tricky enough to stump you all day long, putting your brain to the test!

Today, you’ll have a chance to give your brain a workout by figuring out a few of these famous logic and number puzzles.

So, are you up for the challenge? And don’t forget to try the bonus puzzle—a simple yet tricky riddle that has been around for over 100 years.

And if you need more detailed explanations of how to solve each logic puzzle, check out our 5 Logical Puzzles That Will Bend Your Brain video below, and be sure to click the like button and leave a comment!

## Watch the 5 Logic Puzzles Video:

How many total blocks are in the diagram below?

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## Logical Puzzle #2

How far can a bear walk into the woods?

## Logical Puzzle #3

How can you flip the gummy bear pyramid upside down by moving only 3 gummy bears?

## Are you looking for more super fun Math Riddles, Puzzles, and Brain Teasers to share with your kids?

## Logical Puzzle #4

## Logical Puzzle #5

## Bonus Logical Puzzle!

## Ready for the answers?

## ANSWER KEY:

2.) Half-Way (after that, the bear is walking out of the woods)

Bonus: The Bear is White (Polar Bear at the North Pole)

## Are you looking for more super fun Math Puzzles to share with your kids?

(Never miss a Mashup Math blog--click here to get our weekly newsletter!)

## IMAGES

## VIDEO

## COMMENTS

Logic ProblemsA logic problem is a general term for a type of puzzle that is solved through deduction. Given a limited set of truths and a question, we step through the different scenarios until an answer is found. While these problems rarely involving coding, they require problem-solving and the ability to articulate plausible outcomes.

Practice LogicJoy of Problem Solving. What's inside. Intro to Problem Solving. Coin Rearrangements. Truth Tellers and Liars. Operator Searches. Matchstick Puzzles. Browse through thousands of Logic wikis written by our community of experts.

Logic Puzzles(with Answers) for AdultsTest your logic with 25 logic puzzles, including easy word logic puzzles for kids, and hard logic puzzles for adults. Solve these word problems, with answers included.

Logic Puzzles That WillTest Your SmartsHow to solve a logic puzzle. No matter the format, the key to solving any of these puzzles is to use a process of deduction.

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Logic PuzzlesFrom jigsaw puzzles to acrostics, logic puzzles to drop quotes, numbergrids to wordtwist and even sudoku and crossword puzzles, we run the gamut in word puzzles, printable puzzles and logic games. Quick Links

Puzzle: Can YouSolveThis Brutally HardLogic Puzzle?Puzzle #11: Smullyan’s Truth Machines. A magic store sells truth-telling machines. The machines each have a yellow light and a blue light that illuminate in response to true-or-false questions ...

Logic Grid PuzzlesHow to solve a Logic Puzzle; Printable Logic Grid Puzzles. Visit our Printable Logic Grid Puzzles page to download a PDF version of any of these puzzles. Each puzzle has also a link to download their printable version. Get notified about new brain games Relax, we'll let you know about new brain games. Go!

Logic Problem Solving1. Read the problem/prompt carefully. Pay attention to the details 2. State what you’re trying to accomplish. 3. State what you need to know in order to reach that goal. 4. Break the problem down to its simplest parts. a. Make a simpler/smaller scale …

5 Logical Puzzles That Will Bend YourBrainAttempting to solve logic puzzles is one of the best ways to improve your problem-solving and logical thinking skills while having lots of fun at the same time. Today’s post shares a collection of 5 logical puzzles for kids and adults that gradually progress in difficulty—and there’s also a special bonus puzzle that has been stumping ...