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About twenty five hundred years ago, the Greek philosopher Heraclitus explored change.

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One of his most enduring ideas concerns a man stepping into a river.

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He steps into the water.

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The current passes around his feet.

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When he steps again, other water meets him.

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The man, too, has moved, felt the current, and lived another moment.

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The thought is often paraphrased this way: you cannot step into the same river twice.

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Neither the river nor the person remains unchanged.

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Yet we still speak of the same river—and the same man.

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What do we mean by “the same”?

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Inspired by Heraclitus, we can ask two questions together.

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What is something at this moment?

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And how is it becoming something different?

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Now imagine Heraclitus opening a little café beside the river.

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We’ll call it Heraclitus’ Brew.

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He leaves a hot coffee on a table in the cooler café.

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The philosophy is absorbing.

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The coffee is cooling.

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Take the coffee in this cup as our system.

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It remains our chosen system while its temperature changes.

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Temperature is one aspect of its state.

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Heraclitus writes “hot” in his notebook and turns away.

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The coffee can keep cooling while his note stays the same.

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He changes “hot” to “warm” without checking the coffee.

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That edit changes his account.

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It supplies no new evidence about the coffee.

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The coffee hasn’t read the notebook.

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Already, there are two changes to keep apart:
a change in the coffee, and a change in our account of it.

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A thermometer gives us a temperature reading.

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We use that reading to estimate the coffee’s temperature at the place and time measured.

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That reading does not tell us its taste, its composition, or how much remains.

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A description can be useful without being complete.

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To predict what happens next, we need a model:
an account of how the coffee cools under stated conditions.

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How quickly do we expect it to cool?

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What might putting on a lid change?

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The model’s answers are predictions to check against observations.

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If a prediction fails, we need to investigate.

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We may need to check the reading, our estimate, or the model’s assumptions.

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The mismatch alone does not tell us which needs changing.

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The same discipline matters when we forecast weather, diagnose
a machine, or build an agent that acts on limited information.

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An agent’s own condition can matter too.

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If its camera is switched off, it cannot obtain a fresh image through that camera.

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That gives us a further question:
how could an agent account for the limits of its own observations?

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Heraclitus is part of this small world, too.

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Perhaps he wants to become a more patient listener.

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He notices himself interrupting a customer.

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Next time, he pauses and lets them finish.

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Calling himself patient would not make it so.

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Listening is something he can practise.

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For us, becoming can also involve a direction we choose—and practise in the way we live.

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The river continues to flow.

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The man continues to change.

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Our descriptions must somehow follow both.

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What changes?

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What continues?

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Is the man who stepped into the river the same man he was before?

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What allows us to recognise something through its transformations?

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Being and Becoming begins with those questions.

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Who do you want to become?
