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Introduction to natural sciences (自然科学概論)

Mount Usu / Sarobetsu post-mined peatland
From left: Crater basin in 1986 and 2006. Cottongrass / Daylily

Natural science
A branch of science concerned with the description, prediction, and understanding of natural phenomena → natural philosophy

biology (or biological science)
↓↑ chemistry
physics (or physical science)
geoscience (or earth science)

→ interdisciplinary researches (or sciences), e.g., environmental science

[ Logics ]


History of natural sciences (自然科学史)

Remote ages (古代, BC7 c - AD4-5 c)

Ancient Greece (古代ギリシア)

BC600- meridian of ancient Greek civilization

→ forming the foundation of western philosophy, science and ethic

tried to explain the world in terms of natural sciences that place emphasis on materialist philosophy → history of natural sciences

↔ ideological philosophy that places emphasis on idea (sensu Plato) that is as non-materialist eidos

Ionian/Milesian School (イオニア学派)
Thales of Miletus (BC624?-546): merchant (chapman)/pre-Socratic Greek philosopher and mathematician

patriarch of western philosophy (Milesian)
the father of Greek mathematics
Seven Sages of Greece

Ex. measured the height of pyramids

doxastic that the water is the arche (universal principle on all of the nature, 動力因)

Anaximandros (Eng. Anaximander, BC c. 610-BC546): pupil of Thales

The apeiron (= indefinite, infinite, boundless or unlimited) is the arche (= eternal and ageless)

→ diverse substances are born from the metamorphosis of aperion

the Earth = cylindrical form
evolutionary view of living things → primitive organisms emerged from mad and human originating from fish-like organisms

Anaximenes (BC585-525/528)
Helakleitos (Eng. Heraclitus, BC c. 535- BC c. 470/475): fire is the arche

everything flows → all things come into being by conflict of opposites

Ex. soul = the mixture of fire and water

Anaxagoras (BC c. 500-BC c. 428)

Cosmic mind (Nous, ≈ mind ヌース/理性): arranging all other things in the cosmos in their proper order, started them in a rotating motion, and controlling them somehow, having a strong connection with living things

all substances can be divided infinitely into atoms
the area of circle (S) is proportional to the square of raidus (r)

Summarizing Ionian philosophy: all things existed in this mass, but in a confused and indistinguishable form

BC480 Battle of Salamis
Eleatic (エレア学派)
differences between the thoughts of ideology and materialism became clearly
Pythagoras of Samos (BC582-BC493/497, aged around 75), southern Italy

the spherical land, earth and universe with antipodes → sphere is the most perfect solid
→ celestial motion (天体運動) → circular motion
all things are numbers (万物は数である)

→ systematization of numbers Ex. prime number

→ Pythagorean (ピタゴラス学派)

having an overtone of religious meanings

the forms are more important than the components to explain the structures of matter
→ the soul is the most important → body = the grave of soul

difficulties in finding out discoverers becasue of the esoterica
Ex. the Pythagorean (ピタゴラスの定理)

it was known about 1000 years before the report
Pythagorean triples: c2 = a2 + b2a, b and c exist

Ex. proved that there are only five regular solids, n = 4 (regular tetrahedron), 6 (regular hexahedron), 8 (regular octahedron), 12 (regular dodecahedron), and 20 (regular icosahedron)

regular polygons exist ad infinitum

Parmenides of Elea (BC500/475-?): founded Eleatic school

On nature (a poem): Thought and being are the same

the movements and substances are likely to be seen as an existence

→ founder of metaphysics or ontology

  • Pythagoras and Parmenides established the foundation of ideology that characterized the late Greek philosophy
Zenon (Eng. Zeno of Elea, BC c. 490-BC c. 430?)

paradox of the runner (走者の逆理)

Empedokles (Eng. Empedocles, aged ≈ 60, BC c. 490-BC c. 430)

materialistic interpretation = the facts (of life) are permanent

→ the everlastingness is formed accidentally by binding the four elements (arche): water, earth, air and fire

observation of the volcano Etna → the inside of earth consists of melted substances

Leukippos (date of birth and death unknown, active in BC440-BC430)
Demokritos (Eng.Democritus, BC c. 460-370?): the peak of materialism

atomism: the diverse morphology of substances is determined by the sizes and/or arrangements of atoms that are the composition elements of substances
materialism is daily applied

philosophy of Sophists, including Protagoras, active in BC5 c were influenced greatly by the atomism

Epikouros (Eng. Epicurus, BC341-BC270)
Protagoras (BC c. 490-BC c. 420)

Sophist as teacher for hire, Man is the measure of all things

= there is no absolute truth, but that which individuals deem to be the truth

→ the purpose of life is material success rather than truth (veritas)

Hippokrates (BC460?-370?): doctor in the ancient Greek

patriarch of medical science → medical treatments proposed by observations and experiences → ethic of medical doctor
human body consists of four types of fluids (black bile, blood, yellow bile and mucus) → disease when they are unbalanced

Sokrates (Eng. Socrates, BC469-BC399), death by drinking hemlock

the thought is a contrast to the thought of sophist

Greek philosophy was the peak under him

Socratic method (elenchus): a negative method of hypothesis elimination, in that better hypotheses are found by steadily identifying and eliminating those that lead to contradictions
soul - most important for human

→ transgression (culpa) = ignorance (darkness)

Socratic irony: the dissimulation of ignorance as a means of confuting an adversary
I know that I know nothing

Antiphon (BC430?-): mathmathics professor of Platon

solving doubling the cube (立方体倍積問題)

Theodoros (BC410?-): mathmathics professor of Platon
Athenai (アテナイ)
BC431-404: the Peloponnesian war

Greek - lost the political power

Platon (Eng. Plato, BC427-BC347): Timaeus (on the nature)

theory of forms or theory of ideas (イデア論) - systemized Socratic idealism
→ understanding idea and teach the knowledge obtained by idea

virtus (virtue, 善): something spiritual beyond all the feeling
idea: the material world as it seems to us is not the real world, but only an "image" or "copy" of the real world
the apparent world of forms (constantly changes) ↔ an unchanging and unseen world (probably the cause of what is apparent)

Plato's tripartite theory of soul

psyche = logical (logistykon) + spirited (thymoeides) + appetitive (epithymetikon)

The Academy (Platonism, プラトン学派)

Arkithas (Eng. Archytas, BC428-BC347)
Theaitetos (BC415-369): math.

proven that only five types of regular bodies are present

Eudoxos (BC409-355), astronomer, mathematician

proportion, sectional mensuration (区分求積法)
Eudoxan planetary models: mathematical interpretation of planetary motion

Aristoteles (Aristotle, Aristote, アリストテレス, BC384-BC322)

pupil of Plato, pedagogue of the Great Alexander
Historia Animalium

Menaichmos (BC350?-): conoid
→ The birth of 3-4 shcools that are materialism and individualistic

The schools of Greek philosophy (ギリシア哲学学派)

Eudemos (BC320?-): geometry
Theophrates (BC372-287/288)

"Historia Plantarum", "De cauris plantarum"(「石について」)

Aristarchos (BC 310?-230?)

hypothesis that the center of the world is sun = heliocentricism (地動説)

Euclid, or Eukleides (BC300-?): Euclidean geometry
Archimedes (BC287-212)

principle of Archimedes (= principle of buoyancy)

Apollonios Pergaeus (BC260-200?)
Aristarchos (BC280?)
Eratosteres (BC275-194, or BC237-197, or 236-194)
Hipparchos BC150?
Heron BC100?
Menelaus BC100?
Galenos 129-199, or 131-201

Middle ages (中世, 4-5th c -13-15th c)

The Dark Ages
Fibonacci (alias), Leonardo da Pisa 1170-1250

"Liber Abaci": introduced Indian-Arabic mathematics, numeration, calculation, etc.

Roger Bacon 1214-1294

experimental sicence (sprout of modern science)

Oresme Nicole 1323-1382 Stifel Michael 1486-1567: "Arithmetica integra"
Gunter Edmund 1581-1626
Abel Niels Henrik 1802-1829
Bernoulli, Jacques 1654-1705: one of the Bernoulli Family

1/12 + 1/22 + 1/32 + … → convergence

Bernoulli, Jean 1667-1748: Farther of Daniel
Bernoulli, Daniel 1700-1812, Switzerland (born in Holland)

mathematics and physics

Euler Leonhard 1707-1783
Cauchy Augustine Louis 1789-1856: series

1831: complex number

Modern age (近代)

Copernicus, Nicolaus 1473-1543 (Poland), mathematician and astronomer

1543 a model of the universe - the Sun rather than the Earth at the center of the universe (地動説)

developed independently from Aristarchus of Samos (c. 310-c.230BC)

Bruno, Giordano 1548-1600(stake) (Italy), Dominican friar and osmological theorist

1584 cosmic pluralism: stars are distant suns surrounded by their own planets, infinite universe

industrial revolution → philosophy revolution

The structures of atoms and isotopes (原子と同位体の構造)

Röntgen, Wilhelm Konrad 1845-1923, Germany: research on capillarity, etc.

1895 Discovered X-ray: the unit (roentgen) of X-ray, γ-ray is derived from his name

Antoine Henri Becquerel 1852-1908, Grandfahter of Becuqerel AC

1896 discovered the radioactivity of uranium (U)
the start point was the rejected hypothesis of the essence of X-ray

Becquerel, Antoine Cesar (1788-1878, France)

Fahter of Alexandre Edmond Becquerel(1820-1891)

Curie, Pierre (1859-1906, France): Novel Physics Prize (1903)
Curie, Marie (1867-1934, France, born in Poland): Novel Physics Prize (1903)、Novel Chemistry Prize (1911)

the unit of radioactivity, curie (Ci), is from Mr. and Mrs. Curie

Thomson (1856-1940, England)

1897 cathode rays (陰極線) = flow of electron (電子) emerged from the atom

Rutherford, Ernest (1871-1937)

Rutherford scattering (ラザフォード散乱) = repulsion force (反発力)
1899 radioactive ray emerged from radioactive element (放射性元素) = three types: α, β, γ-rays

α-ray (alpha ray, α線): +charge = 4He (alpha particle, α-粒子)

Periodic table (周期表)

= periodicity table, periodic law table
Table. Periodic table of the elements

Isotope (同位体)

Stable isotope (安定同位体)
Isotopologue (同位体分子種)

Element = Σisotopologue (abundance, %): δ range in ‰
H = 1H (99.9844) + 2H (D) (0.0156): D/H = 700
O = 16O (99.763) + 17O (0.0375) + 18O (0.1995): 18O/16O = 100
C = 12C (98.89) + 13C (1.11): 13C/12C = 100
N = 14N (99.64) + 15N (0.36): 15N/14N = 50
S = 32S (95.02) + 33S (0.75) + 34S (4.21) + 36S (0.02): 34S/32S = 100


they generally have equal chemical properties
their mass differences confer different physical properties

heavier isotopic molecules have

lower mobility
stronger binding energy
fewer collisions
lower diffusion energy

⇒ application to biogeochemical cycle

Environmental science (環境科学)

  1. a science of environment = environmental science: need independent field of research → study on restoration of the rights of human life (Igeta 1981)
  2. sciences of environment - environmental sciences
    need interdisciplinary collaboration → not to confuse environmental sciences with environmental issues → need environmental science
What is environmental science?

need to cooperate with field experiments and lab-experiments
nowadays, experimental science is one of the popular scientific approaches.

How do we approach the field science?

method: principles of mechanical reductionism vs wholism

in environmental science, wholism is major because the study deals with significance or fatal problems on human and other living things, i.e., the total phenomena of studies in fields.

Environmental earth science (地球環境科学)

  1. 3E: earth science - ecology - economy
  2. studies on the type of problem finding
  3. 3A approach: assessment science, action science, appropriate science → global mind and local action

Global warming (地球温暖化)

Introcution to global warming
Ecology and global warming

Ultraviolet (ozone hole)

Ozone depletion and the effects of UV radiation

Scientific method (科学方法論)

demonstrative (論証的) ⇔ factual (empirical) 実証的
deductive (演繹的) ⇔ inductive (帰納的)
speculative (思弁的) ⇔ experimental (実験的)
Poincaré, Henri (1854-1912): thesis (命題) ≈ loi brute (組成の法則) → law (法則, s.l.)

実証主義positivism ≈ justificationism (正当化主義)

Popper: hypothetico-deductivism (仮説演繹主義) → falsification (反証)

Method (方法)

metahodos (G) pursuit of knowledge, investigation, mode of prosecuting such inquiry, system → nature recognition "how being"
fact decision → causality → value-judgment (philosophy) Mill JS (1806-1873)

the law of uniformity of nature

nature behaves in the same way under same conditions

the law of causation

every event has a cause

Philosophy (哲学)

philos (Gr. to love or to befriend) + sophia (Gr. wisdom) → love of wisdom = search for wisdom