A Proof Against Vagueness & Why It's Hard

Curt Jaimungal Curt Jaimungal May 02, 2026

Audio Brief

Show transcript
This episode covers the philosophy of vagueness and how it shapes human thought, language, and internal desires. There are three key takeaways. First, vagueness is a limitation of language rather than physical reality. Second, internal desires exist in a cloudy state until external options crystallize them. Finally, we articulate thoughts through a creative process of elimination. Regarding language, logical proofs suggest the physical world is precise, and vagueness only arises when we try to describe it. For internal states, people often experience unformulated desires. We do not know what we want until a specific option crystallizes that feeling. Lastly, articulation relies on a feedback loop. We reject incorrect descriptions until we find a phrasing that resonates, meaning speech actually helps construct our thoughts. Ultimately, embracing this mental cloudiness can lead to clearer decision-making and better self-expression.

Episode Overview

  • This episode explores the philosophical concept of vagueness and how it relates to human thought, desire, and language articulation.
  • It begins with a philosophical proof against the existence of ontological vagueness, using the Leibniz principle of identity.
  • It then shifts to a psychological and cognitive perspective, examining the "cloudiness" of our internal states before we put them into words.
  • The discussion is highly relevant to anyone interested in philosophy of mind, cognitive science, and the mechanics of self-expression and communication.

Key Concepts

  • Ontological Vagueness vs. Semantic Error: The speaker introduces a proof suggesting that vagueness may not exist in the external world itself, but rather in our linguistic mapping of reality. According to this view, objects are distinct, and apparent vagueness is just a limitation of our descriptions.
  • The "Cloudiness" of Desires: Using the relatable example of choosing a movie on Netflix, the speaker illustrates how we often experience vague, unformulated desires. We don't know what we want until a specific option "crystallizes" that desire for us.
  • The Mystery of Articulation: The speaker raises a profound question about how we recognize when we have correctly expressed a thought. We often reject multiple verbal formulations ("that's not what I mean") until we hit upon one that feels correct, implying a pre-verbal template or a process of creative discovery.

Quotes

  • At 0:13 - "By the Leibniz principle, you could say that B then has a property that A doesn't have, therefore it is not actually indeterminate... so they are indeed different." - This explains the logical proof against ontological vagueness, showing how identity properties are used to argue for distinctness over indeterminacy.
  • At 1:03 - "Is there a solid rock in the cloudiness? Is there actually something there, I just can't see it? Or is it that as I try to reach through the clouds, I create a rock?" - Explaining the central cognitive dilemma of whether our vague feelings have a pre-existing definite state or if the act of articulation actually creates the definitive thought.
  • At 1:29 - "We don't know what we mean, but we start to say, 'That's not what I mean.' Then, 'Ah, that's what I mean.' How does that happen?" - Highlighting the fascinating phenomenological process of refining our speech through trial and error until it aligns with an unarticulated internal state.

Takeaways

  • Recognize that vague feelings or desires (the "cloudiness") are a natural state of mind; do not force immediate precision when exploring new ideas or preferences.
  • Use a process of elimination ("that's not what I mean") as a practical tool to narrow down and articulate complex thoughts or decisions.
  • Pay attention to the moment of "resonance" when a piece of media, a word, or an idea suddenly clarifies your vague mood, as this reveals underlying subconscious preferences.