Polym
@polymapp.bsky.social
Daily practice in active learning to enhance retention for polymaths everywhere. polymapp.com
Stop forgetting what you learn.
Research indicates a decline in critical thinking, making this the moment to preserve your mind.
Here are 4 ways to improve your learning:
Research indicates a decline in critical thinking, making this the moment to preserve your mind.
Here are 4 ways to improve your learning:
November 2, 2025 at 3:23 AM
Stop forgetting what you learn.
Research indicates a decline in critical thinking, making this the moment to preserve your mind.
Here are 4 ways to improve your learning:
Research indicates a decline in critical thinking, making this the moment to preserve your mind.
Here are 4 ways to improve your learning:
Classical logic demands binary truth values, but fuzzy logic acknowledges gradations. "John is tall" might be 0.8 true for someone 6'2" and 0.3 true for someone 5'8".
October 8, 2025 at 3:24 AM
Classical logic demands binary truth values, but fuzzy logic acknowledges gradations. "John is tall" might be 0.8 true for someone 6'2" and 0.3 true for someone 5'8".
Scope ambiguity.
"Every professor teaches some subject" has two readings: each professor teaches at least one subject, or there's one subject every professor teaches.
Scope ambiguity occurs when quantifier order creates multiple interpretations.
"Every professor teaches some subject" has two readings: each professor teaches at least one subject, or there's one subject every professor teaches.
Scope ambiguity occurs when quantifier order creates multiple interpretations.
October 4, 2025 at 1:25 PM
Scope ambiguity.
"Every professor teaches some subject" has two readings: each professor teaches at least one subject, or there's one subject every professor teaches.
Scope ambiguity occurs when quantifier order creates multiple interpretations.
"Every professor teaches some subject" has two readings: each professor teaches at least one subject, or there's one subject every professor teaches.
Scope ambiguity occurs when quantifier order creates multiple interpretations.
Modal logic extends classical logic by adding operators that express necessity, possibility, or impossibility.
Legal language relies on this: “The defendant could have acted differently” (possibility), “The contract must be honored” (necessity), “Evidence cannot be admitted” (impossibility).
Legal language relies on this: “The defendant could have acted differently” (possibility), “The contract must be honored” (necessity), “Evidence cannot be admitted” (impossibility).
September 15, 2025 at 2:27 AM
Modal logic extends classical logic by adding operators that express necessity, possibility, or impossibility.
Legal language relies on this: “The defendant could have acted differently” (possibility), “The contract must be honored” (necessity), “Evidence cannot be admitted” (impossibility).
Legal language relies on this: “The defendant could have acted differently” (possibility), “The contract must be honored” (necessity), “Evidence cannot be admitted” (impossibility).
They didn’t just ask questions, they changed the way we think.
September 12, 2025 at 5:07 AM
They didn’t just ask questions, they changed the way we think.
Universal quantifiers make claims about every member of a domain: "All mammals breathe air" encompasses whales, bats, and humans equally.
Existential quantifiers require only one instance: "Some mammals live underwater" is satisfied by whales alone.
Existential quantifiers require only one instance: "Some mammals live underwater" is satisfied by whales alone.
September 12, 2025 at 1:17 AM
Universal quantifiers make claims about every member of a domain: "All mammals breathe air" encompasses whales, bats, and humans equally.
Existential quantifiers require only one instance: "Some mammals live underwater" is satisfied by whales alone.
Existential quantifiers require only one instance: "Some mammals live underwater" is satisfied by whales alone.
A material conditional is a logical statement of the form “If P then Q,” which is considered false only when P is true and Q is false.
For example, “If I am the Queen of England, then I live in London” counts as true because the premise is false.
For example, “If I am the Queen of England, then I live in London” counts as true because the premise is false.
September 9, 2025 at 12:16 AM
A material conditional is a logical statement of the form “If P then Q,” which is considered false only when P is true and Q is false.
For example, “If I am the Queen of England, then I live in London” counts as true because the premise is false.
For example, “If I am the Queen of England, then I live in London” counts as true because the premise is false.
“Some politicians are honest" and "Some politicians are not honest" can both be true simultaneously.
Existential quantifiers (“some” in this case) affirm that at least one instance of a property exists, without implying exclusivity.
Existential quantifiers (“some” in this case) affirm that at least one instance of a property exists, without implying exclusivity.
September 6, 2025 at 3:43 PM
“Some politicians are honest" and "Some politicians are not honest" can both be true simultaneously.
Existential quantifiers (“some” in this case) affirm that at least one instance of a property exists, without implying exclusivity.
Existential quantifiers (“some” in this case) affirm that at least one instance of a property exists, without implying exclusivity.
Validity ensures an argument's conclusion follows logically from its premises, yet validity provides no guarantee of truth.
Soundness requires both logical structure and factual accuracy in the premises themselves.
Example: "All birds can fly, penguins are birds, therefore penguins can fly"
Soundness requires both logical structure and factual accuracy in the premises themselves.
Example: "All birds can fly, penguins are birds, therefore penguins can fly"
September 6, 2025 at 4:54 AM
Validity ensures an argument's conclusion follows logically from its premises, yet validity provides no guarantee of truth.
Soundness requires both logical structure and factual accuracy in the premises themselves.
Example: "All birds can fly, penguins are birds, therefore penguins can fly"
Soundness requires both logical structure and factual accuracy in the premises themselves.
Example: "All birds can fly, penguins are birds, therefore penguins can fly"
They didn’t just ask questions, they changed the way we think.
August 4, 2025 at 3:45 AM
They didn’t just ask questions, they changed the way we think.
Your brain doesn’t record everything—it selects. Here's how it decides what to keep.
July 20, 2025 at 3:55 PM
Your brain doesn’t record everything—it selects. Here's how it decides what to keep.
Your world isn’t just what you sense
May 23, 2025 at 8:40 PM
Your world isn’t just what you sense
Why do people really buy?
May 10, 2025 at 6:52 PM
Why do people really buy?
Review key drivers of human behavior.
May 2, 2025 at 12:41 AM
Review key drivers of human behavior.
Every decision, emotion, and reflex can be traced to the intricate design of the brain.
April 27, 2025 at 2:14 PM
Every decision, emotion, and reflex can be traced to the intricate design of the brain.
Bayesian statistics simplified
April 19, 2025 at 12:48 AM
Bayesian statistics simplified
An overview of three key personality theories
April 11, 2025 at 7:23 PM
An overview of three key personality theories
Basics of Network Theory: nodes, edges, direct and undirected connections, and centrality measures.
March 29, 2025 at 2:19 PM
Basics of Network Theory: nodes, edges, direct and undirected connections, and centrality measures.
Reviewing the basics of hypothesis testing.
March 27, 2025 at 11:22 PM
Reviewing the basics of hypothesis testing.
The hidden rules of great design.
March 21, 2025 at 10:48 PM
The hidden rules of great design.
Understanding group dynamics, social identity, collective behavior, and cohesion.
March 16, 2025 at 7:06 PM
Understanding group dynamics, social identity, collective behavior, and cohesion.
Causal inference: understanding confounders, mediators, and colliders.
March 10, 2025 at 12:52 AM
Causal inference: understanding confounders, mediators, and colliders.
Why the better hospital has a worse success rate
March 3, 2025 at 5:46 AM
Why the better hospital has a worse success rate
Interleaving Practice - Humans vs. AI: Seeing Patterns That Aren’t There
February 20, 2025 at 1:14 AM
Interleaving Practice - Humans vs. AI: Seeing Patterns That Aren’t There