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Modern Philosophy: Humanism to Leibniz and Spinoza

Between 1350 and 1850 thinkers moved from humanism and the Renaissance, through the Enlightenment, to Romanticism. Bacon built knowledge from experiments, Pascal reasoned about chance and the heart, Vico saw history in ages, Diderot gathered knowledge in the Encyclopédie, Spinoza saw one substance and Leibniz many monads.

🎬 Step-by-step story

  1. A road through time, 1350 to 1850, with three eras: Humanism and Renaissance, Enlightenment, Romanticism. Slide the year and see who is alive.
  2. Bacon: add observations one by one. Few dots give any guess. Many dots show a pattern, a law, and then we test it by experiment.
  3. Pascal: a bet has a cost and a prize. Move the chance. When chance × prize is bigger than the cost, the scale tips towards "worth it".
  4. Vico: nations pass through the age of gods, the age of heroes and the age of humans, then return at a new level. Slide round the ring.
  5. Diderot and friends wrote the Encyclopédie to gather knowledge. Add volumes to the three branches: memory, reason, imagination.
  6. Spinoza sees one substance with many modes. Leibniz sees many monads that keep step in harmony. Switch between them and try the harmony box.

Tip: drag the 3D scene to turn it. Use two fingers to zoom.

🤔 Common doubts, cleared

Were these eras separate boxes?

No. They overlap and are rough. Slide the year and see that thinkers such as Pascal and Spinoza lived when Renaissance ideas and new science met.

Why does Bacon need so many observations?

One or two examples can fool us. Many examples show a pattern. Move the slider and notice the red line appears only when there are enough dots.

Is a Pascal bet only for money?

No, it is a way of thinking about any choice with uncertain results: compare the chance and size of the gain with the cost. Move the chance and watch the scale tip.

Does history just repeat, according to Vico?

No. It returns to a similar stage but at a new level, not an exact copy. The ring shows a return at the end of the slider.

Why did Diderot need so many writers?

No one person knows everything. Many experts wrote the articles, so the work grew volume by volume. Add volumes and watch the three branches grow.

If Spinoza is right, are we not free?

He says freedom is understanding why things happen, not breaking the laws of nature. Compare with Leibniz, whose monads are free inside while the harmony is set.

Humanism, Renaissance, Enlightenment and Romanticism

Four big movements shaped modern thought. Years are rough.

The thinkers below sit between these movements, mostly in the 1500s to 1700s.

Francis Bacon: knowledge from experiments

Francis Bacon (1561 to 1626, England) wanted a new way to learn about nature. In Novum Organum (1620) he said: do not start from old authorities or quick guesses. Collect many careful observations, do experiments, and move step by step to general laws. This is induction.

He warned about four "idols", habits of mind that fool us: of the tribe (mistakes common to all humans), of the cave (our own narrow experience), of the marketplace (confusing words) and of the theatre (accepting grand old systems). His slogan: knowledge is power, because knowing nature lets us use it. He is a founder of the modern scientific method.

Blaise Pascal: chance, calculation and the heart

Blaise Pascal (1623 to 1662, France) was a mathematician and physicist. With Fermat he laid the base of probability. He built an early calculating machine and studied pressure in fluids (the unit of pressure is named after him).

In his book Pensées he asks how a person should choose when the facts are uncertain. He compares a cost with a chance of a prize: chance × prize against cost. His famous "wager" uses this idea for the question of belief, when the prize is huge. He also said that the human heart has "reasons" that reason alone does not know: feeling and intuition are part of knowing. He held that people are both great (they can think) and weak (a reed).

Giambattista Vico: history in ages

Giambattista Vico (1668 to 1744, Naples) wrote The New Science (1725). His key idea: we understand best what we ourselves made. Nature was made by God, but history, law, language and customs were made by people, so people can understand them from inside.

He saw every nation passing through three ages: an age of gods (fear of the divine, rule by priests), an age of heroes (noble families rule) and an age of humans (equality, reason, laws). Then society can decay and begin again, a return called ricorso, but at a new level, not a copy. Vico was ignored in his lifetime but later influenced historians and anthropologists.

Denis Diderot and the Encyclopédie

Denis Diderot (1713 to 1784, France) edited the Encyclopédie with Jean d'Alembert, published from 1751 to 1772: 17 volumes of articles and 11 volumes of pictures. Hundreds of writers took part. Its plan followed Bacon's tree of knowledge: memory (history), reason (science and philosophy) and imagination (arts).

The goal was to put knowledge in front of ordinary readers and to teach people to think for themselves. This upset kings and church leaders, and the work was banned for a time. Diderot also wrote novels, plays and art criticism, and argued that nature, not a plan from outside, explains living things.

Baruch Spinoza: one substance

Baruch Spinoza (1632 to 1677, Amsterdam) earned his living grinding lenses. His book Ethics (printed after his death) is written like geometry, with definitions and proofs.

His big claim: there is only one substance, which he calls "God or Nature". Everything else is a mode, a way that this one thing appears. Mind and body are two sides (attributes) of the same thing, not two separate worlds. Everything follows by necessity, so we are free not by breaking the laws of nature but by understanding why things happen and so being moved by reason, not by blind feeling. His ideas about religion and the state were controversial in his time.

Gottfried Leibniz: many monads

Gottfried Wilhelm Leibniz (1646 to 1716, Germany) was a philosopher, mathematician and diplomat. He developed calculus (independently of Newton) and the binary number system that computers use.

In philosophy he said the world is made of countless simple, mind-like units called monads. Monads have no windows: they do not push each other, yet they keep step because God set them in pre-established harmony, like clocks set to the same time. He used the principle of sufficient reason: everything has a reason why it is so and not otherwise. He argued that this is the "best of all possible worlds", an idea Voltaire later mocked in Candide.

Compare: Spinoza = one substance; Leibniz = many monads.

Try it

(1) Do a Bacon experiment: drop a pen, a coin and a paper ball from the same height 5 times each and note which lands first. What pattern do you see? Then crumple the paper and repeat. (2) Do a Pascal check: a school lottery ticket costs ₹10 and the prize is ₹100 with 5% chance. Is it worth it? (3) In the 3D, in step 1 slide the year to find which thinkers were alive in 1650.

Key formulas and definitions

Worked examples

1. Put these in the right era: a. studying Greek texts in Italian cities; b. the Encyclopédie; c. Goethe's poems about nature and feeling.

a. Humanism and Renaissance. b. Enlightenment. c. Romanticism.

2. A farmer says "it rained after the crow called, so crows bring rain." What would Bacon ask?

He would ask for many more observations: how many times did the crow call without rain, and rain without the crow? He would also check his idol of the cave, seeing only what supports the idea.

3. A game costs ₹4 to play and pays ₹20 with 25% chance. Is it worth it by Pascal's test?

Expected gain = 0.25 × 20 = ₹5. Cost = ₹4. 5 > 4, so it is worth playing (on average).

4. Why did Vico think history can be known more surely than nature?

Because people made history (laws, customs, language) and so can understand it from inside. Nature, made by God, can be known only from outside.

5. Why was the Encyclopédie seen as dangerous by rulers?

It spread knowledge widely, questioned old authority and encouraged people to use their own reason. Rulers who relied on tradition feared this.

6. How do Spinoza and Leibniz differ on how many basic things exist?

Spinoza: one substance (God or Nature), and all things are its modes. Leibniz: infinitely many monads. Both used reason and both thought the world is understandable.

Common mistakes

Practice quiz

1. Induction means:
2. Vico's three ages are:
3. The Encyclopédie was edited by:
4. Which thinker taught that there is one substance, "God or Nature"?
5. Monads are:

Practice: answer these yourself

Type or choose your answer, then press Check. Use a hint if you are stuck; the full solution appears after you answer.

Frequently asked questions

What is modern philosophy?

Usually the philosophy from about the 1500s to the early 1800s in Europe, from the Renaissance to thinkers such as Kant and Hegel, with reason, experience and science as main themes.

What is the difference between Renaissance and Enlightenment?

The Renaissance (from about 1350) revived old learning and focused on human dignity. The Enlightenment (from about 1680) stressed reason, science, tolerance and public debate.

Why do we study these thinkers?

They shaped science, probability, the study of history, the idea of an open encyclopedia, and big questions about what is real. Their ideas are behind many school subjects.

Where this is taught

ItalySecondaria di secondo grado – classe 3ªFrom the origins to Hegel
ItalySecondaria di secondo grado – classe 4ªFrom the origins to Hegel

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