Falsifying Conditions

Approx. Age: ~135 years, 4 mo old • Born: Mar 16 - 22, 1891

Curriculum Level

Level 12

Level Progress

2945/ 4096

Current Age

~135 years, 4 mo old

Cohort

Mar 16 - 22, 1891

🚧 Content Planning

Initial research phase. Tools and protocols are being defined.

Status: Planning

Planning

Selected

Ordered

Received

Active

Current Stage: Planning

Rationale & Protocol

Shelf justification and protocol are being finalized.

Primary Tool Tier 1 Selection

Primary tools are being selected for this week.

DIY / No-Tool Project (Tier 0)

A "No-Tool" project for this week is currently being designed.

Origin Path

1
From: "Human Potential & Development."
Split Justification: Development fundamentally involves both our inner landscape (**Internal World**) and our interaction with everything outside us (**External World**). (Ref: Subject-Object Distinction)..
➔ "Internal World (The Self)" (W1)
"External World (Interaction)" (W2)
2
From: "Internal World (The Self)"
Split Justification: The Internal World involves both mental processes (**Cognitive Sphere**) and physical experiences (**Somatic Sphere**). (Ref: Mind-Body Distinction)
➔ "Cognitive Sphere" (W3)
"Somatic Sphere" (W5)
3
From: "Cognitive Sphere"
Split Justification: Cognition operates via deliberate, logical steps (**Analytical Processing**) and faster, intuitive pattern-matching (**Intuitive/Associative Processing**). (Ref: Dual Process Theory)
➔ "Analytical Processing" (W7)
"Intuitive/Associative Processing" (W11)
4
From: "Analytical Processing"
Split Justification: Analytical thought engages distinct symbolic systems: abstract logic and mathematics (**Quantitative/Logical Reasoning**) versus structured language (**Linguistic/Verbal Reasoning**).
➔ "Quantitative/Logical Reasoning" (W15)
"Linguistic/Verbal Reasoning" (W23)
5
From: "Quantitative/Logical Reasoning"
Split Justification: Logical reasoning can be strictly formal following rules of inference (**Deductive Proof**) or drawing general conclusions from specific examples (**Inductive Reasoning Case Study**). (L5 Split)
➔ "Deductive Proof." (W31)
"Inductive Reasoning Case Study" (W47)
6
From: "Deductive Proof."
Split Justification: Deductive systems can be analyzed based on the relationship between whole statements (**Propositional Logic**) or the properties of objects and their relations (**Predicate Logic**). (L6 Split)
➔ "Propositional Logic" (W63)
"Predicate Logic" (W95)
7
From: "Propositional Logic"
Split Justification: Propositional logic involves determining the validity of arguments (**Truth Table Construction**) and applying rules of inference (**Using Modus Ponens/Tollens**).
➔ "Truth Table Construction" (W127)
"Using Modus Ponens/Tollens" (W191)
8
From: "Truth Table Construction"
Split Justification: The process is divided into defining the table's structural framework (Table Structuring) and the subsequent, row-by-row calculation of truth values based on logical operators (Truth Value Computation).
"Table Structuring" (W255)
➔ "Truth Value Computation" (W383)
9
From: "Truth Value Computation"
Split Justification: Truth value computation requires first identifying the values of the simplest statements (Atomic Proposition Evaluation) and then combining them using the rules of logical operators (Logical Connective Application).
"Atomic Proposition Evaluation" (W639)
➔ "Logical Connective Application" (W895)
10
From: "Logical Connective Application"
Split Justification: This split categorizes the application of logical connectives based on the number of propositions they operate on (single vs. two), a fundamental distinction in their computational definition and truth value determination.
"Unary Connective Application" (W1407)
➔ "Binary Connective Application" (W1919)
11
From: "Binary Connective Application"
Split Justification: When applying a binary connective to compute its truth value, the process fundamentally involves evaluating whether the specific conditions that define its truth are met, or conversely, whether the specific conditions that define its falsity are met. These two perspectives represent mutually exclusive sets of criteria for determining the connective's final truth value, and together they comprehensively cover all possible outcomes of a binary connective application.
➔ "Truth Condition Evaluation" (W2943)
"Falsity Condition Evaluation" (W3967)
12
From: "Truth Condition Evaluation"
Split Justification: Truth Condition Evaluation fundamentally involves determining which assignments of truth values to propositional variables result in the overall proposition being true (satisfying conditions) and which result in it being false (falsifying conditions). These two outcomes are mutually exclusive and comprehensively cover all possibilities in binary propositional logic.
"Satisfying Conditions" (W4991)
➔ "Falsifying Conditions" (W7039)
✓
Topic: "Falsifying Conditions" (W7039)

Research & Datasheets

No research files available.

What's Next? (Child Topics)

Final Topic Level

This topic does not split further in the current curriculum model.