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)..
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)
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)
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**).
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)
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)
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**).
8
From: "Using Modus Ponens/Tollens"
Split Justification: The parent node explicitly refers to two distinct forms of deductive inference. This split separates the application of Modus Ponens (affirming the antecedent) from the application of Modus Tollens (denying the consequent), which are the two fundamental and mutually exclusive inferential mechanisms described by the parent concept. Together, they comprehensively cover the scope of the parent node.
9
From: "Using Modus Ponens"
Split Justification: This dichotomy separates the analytical task of assessing existing arguments that utilize Modus Ponens (evaluating their validity or correctness) from the synthetic task of actively employing Modus Ponens as a rule of inference to construct new valid deductions or derive new conclusions.
10
From: "Applying Modus Ponens for Derivation"
Split Justification: This dichotomy differentiates the application of Modus Ponens based on the direction of reasoning: either deriving conclusions from existing premises (forward) or identifying necessary antecedent conditions to reach a desired conclusion (backward).
11
From: "Forward Application of Modus Ponens"
Split Justification: This dichotomy separates the application of Modus Ponens based on the nature of the domain. "Application in Formal Systems" refers to its use within abstract, symbolic, or axiom-based frameworks (e.g., mathematical proofs, formal logic derivations). "Application in Real-World Contexts" refers to its use in concrete, observable, or practical situations for everyday reasoning, problem-solving, and decision-making.
12
From: "Application in Formal Systems"
Split Justification: This dichotomy separates the application of Modus Ponens in formal systems based on whether it is used to derive new statements purely by following structural rules of the system (syntactic derivation, focusing on well-formedness and formal proof) or by assigning meaning and truth values to propositions within the system (semantic interpretation, focusing on truth preservation and validity). These represent the two fundamental perspectives in formal logic for how rules are applied.
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Topic: "Application through Semantic Interpretation" (W6463)