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Introduction

  • Offline video lecture announcement due to a scheduling conflict.

  • Instructor wishes students a happy and successful new year.

Recap of Previous Content

  • Last topic covered in December: different theories of meaning.

  • Three basic approaches:

    • Cognitive Semantics (Ideas Approach):

      • Meanings are considered as representations in the mind.

    • Usage Theory of Meaning:

      • Meaning of a word is determined by its usage in context, highlights distributional semantics.

    • Truth Conditional Semantics:

      • Focus on modeling aspects of meaning that determine the truth conditions of sentences.

Detailed Overview of Truth Conditional Semantics

  • Truth conditional semantics takes a neutral stance regarding the true nature of meanings.

  • Focus is on evaluating if a sentence can be assessed as true or false based on the speaker's knowledge.

  • Philosophical implications:

    • The nature of truth is a long-standing question in philosophy, with no consensus.

    • Truth is conceptualized as a correspondence between a sentence and a factual state in the world.

Theories of Truth

  • Correspondence Theory of Truth:

    • Truth is when a statement corresponds to actual facts or states of affairs.

    • Example: "It is raining today" is true if it is indeed raining.

  • Challenges to the correspondence theory include:

    • Applicability to mathematical truths, e.g., the sum of angles in a triangle.

    • Reality of abstract concepts like numbers—do they exist concretely?

  • Platonism and Realism:

    • Philosophical stance asserting the existence of an abstract realm of mathematics.

  • Coherence Theory of Truth:

    • Truth is defined by the consistency of beliefs within a given theoretical framework.

  • Pragmatic Theory of Truth:

    • Truth is based on the practical benefits or usefulness of ideas in real-world scenarios.

  • Constructivist Theory of Truth:

    • Truth is seen as a negotiated outcome within social discourse without objective standards.

Relationship Between Meaning and Truth in Truth Conditional Semantics

  • Truth conditional semantics uses the correspondence theory of truth for evaluation.

  • Introduces the concept of possible worlds—alternative scenarios to evaluate sentences.

  • A sentence could be true in one possible world but false in another, influenced by the context (e.g., literary narratives).

  • Reference: meaning establishes a relationship between language and aspects of the world.

Reference in Semantics

  • Reference:

    • Broader than truth; it includes the relationship between language and the entities it describes.

    • Identified through proper names, definite descriptions, and common nouns.

  • Frega's Insights on Reference:

    • Example of the morning star vs. evening star: two names for the same object (Venus) that lead to different implications about knowledge and meaning.

  • Extension and Intension:

    • Extension: the actual object or set that an expression refers to.

    • Intension: the cognitive information needed to identify the reference.

Compositionality Principle

  • The meaning of complex expressions derives from their constituents and how they are combined (Frega's principle of compositionality).

  • Examples include:

    • Simple sentences: subject and predicate performance.

    • Locality in semantic computation: only immediate parts of a complex expression contribute to its overall meaning.

Semantic Structures and Sentence Extensions

  • The extension of sentences equates to their truth value (true or false).

  • In declarative sentences:

    • True sentence extensions yield a value of 1.

    • False sentence extensions yield a value of 0.

  • Distinguishes between meaning (which varies) and truth value (which remains binary).

Summary of Key Points

  • Truth conditional semantics focuses on aspects of meaning relevant to establishing truth conditions.

  • The distinction between reference and meaning is crucial for understanding semantics.

  • Compositionality encompasses both syntactic and semantic approaches, where meanings are computed recursively through structures.

  • Extensions correspond to real-world references or truth values, while intentions capture the information needed to understand these references.