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Leibniz's gap

Leibniz's gap is a science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand Leibniz's gap rather than just read about it. In short: In the philosophy of mind, Leibniz's gap (or Leibniz's mill) is the problem that thoughts cannot be observed or perceived solely by examining brain properties, events, and processes. Here the word "gap" is a metaphor of a subquestion regarding the mind–body problem that allegedly must be answered in order to reach a more profound understanding of qualia, consciousness and emergence.

Key takeaways

  • Leibniz's gap belongs to science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect Leibniz's gap to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of Leibniz's gap from memory before moving on to harder problems.

Reference excerpt

In the philosophy of mind, Leibniz's gap (or Leibniz's mill) is the problem that thoughts cannot be observed or perceived solely by examining brain properties, events, and processes. Here the word "gap" is a metaphor of a subquestion regarding the mind–body problem that allegedly must be answered in order to reach a more profound understanding of qualia, consciousness and emergence. A theory that could correlate brain phenomena with psychological phenomena would "bridge the gap". The term Leibniz's gap was coined by Robert Cummins and was named after Gottfried Leibniz, who first presented the problem in his work The Monadology in 1714. Leibniz's passage describing the gap goes as follows:

It must be confessed, moreover, that perception, and that which depends on it, are inexplicable by mechanical causes, that is, by figures and motions, And, supposing that there were a mechanism so constructed as to think, feel and have perception, we might enter it as into a mill. And this granted, we should only find on visiting it, pieces which push one against another, but never anything by which to explain a perception. This must be sought, therefore, in the simple substance, and not in the composite or in the machine. The problem is that there is a gap between concepts of modern neuroscience, and those that we use to describe the mind, such as "thought", "feeling", and "perception". This means that the physical observation of the brain yields data, substantially, with the format of electric potentials, even if we are convinced that the mind is the brain. Leibniz himself sought to bridge the gap by introducing monads to explain the existence of immaterial, eternal souls. Leibniz's gap, however, applies to materialism and dualism alike. This brought late 19th century scientists to conclude that psychology must build on introspection; thus introspectionism was born. Computationalism seeks to answer the problem proposed by Leibniz's gap through functional analysis of the brain and its processes. There is the position that functionalism could address the gap since it allows something to be described in terms of what it does without explaining how it does it or identifying the physical form it takes. Today, however, Leibniz's gap is still in wide use in scientific debate as the mind-body problem that remains unsolved.

See also Hard problem of consciousness Explanatory gap Cognitive science

References

Worked examples

Example 1 — a first encounter with Leibniz's gap

Start with the simplest possible case. Write down what Leibniz's gap claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to Leibniz's gap before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about Leibniz's gap ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of Leibniz's gap

In research
Leibniz's gap appears in science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses Leibniz's gap in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
Leibniz's gap is common in secondary-school and first-year university syllabi. It links to neighbouring topics Arguments in philosophy of mind, Cognitive science, Gottfried Wilhelm Leibniz, so understanding it makes those chapters shorter.
In everyday life
Look for Leibniz's gap outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study Leibniz's gap in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what Leibniz's gap means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain Leibniz's gap out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Leibniz's gap in simple terms?

In the philosophy of mind, Leibniz's gap (or Leibniz's mill) is the problem that thoughts cannot be observed or perceived solely by examining brain properties, events, and processes. Here the word "gap" is a metaphor of a subquestion regarding the mind–body problem that allegedly must be answered i…

Why does Leibniz's gap matter?

Because it connects several science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study Leibniz's gap?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on Leibniz's gap.

Tags

  • Arguments in philosophy of mind
  • Cognitive science
  • Gottfried Wilhelm Leibniz
  • Philosophical analogies

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