Application Resulting in False

Approx. Age: ~145 years, 3 mo old • Born: May 23 - 29, 1881

Curriculum Level

Level 12

Level Progress

3457/ 4096

Current Age

~145 years, 3 mo old

Cohort

May 23 - 29, 1881

🚧 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: "Unary Connective Application"
Split Justification: This dichotomy partitions the application of any unary logical connective based on the truth value of its single operand. It covers all possible input states (True or False), ensuring mutual exclusivity and comprehensive coverage for the computational process.
"Application to a True Input Value" (W2431)
➔ "Application to a False Input Value" (W3455)
12
From: "Application to a False Input Value"
Split Justification: When a unary connective is applied to a false input value, the computed truth value must fundamentally and exhaustively result in either true or false. This dichotomy categorizes the two possible outcomes of such an application.
"Application Resulting in True" (W5503)
➔ "Application Resulting in False" (W7551)
✓
Topic: "Application Resulting in False" (W7551)

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.