logic, arrangement, reason, justice, truth
理 centers on the underlying order that makes sense of things: the logic, reason, or principle behind an arrangement, and the justice or truth that follows from that order.
理 combines 王 (jade) with 里, which likely contributes the sound. The original idea relates to the natural veins or patterns in jade, extended to mean the underlying principle or order of things.
The left side 王 (jade) and right side 里 (village) together suggest the orderly layout of a village, like the natural veins in jade. 理 is the logic and reason that arranges things justly.
For リ, imagine a ruler (理) using logic to measure the veins in jade: ruler -> リ, and the ruler brings order and reason.
reason; grounds; pretext; excuse; motive
unreasonable; unnatural; unjustifiable
understanding; comprehension; appreciation
control; management (e.g. of a business)
cooking; cookery; cuisine; food; dish
processing; dealing with; treatment; disposition; disposal
state of mind; mentality; psychology
ideal; ideals
theory
sorting; arrangement; organization; putting in order; adjustment; regulation
repair; mending; fixing; servicing
laws of nature; physical laws
prime minister (as the head of a cabinet government); premier
representation; agency; proxy
director; trustee
reason; principle; logic
logic
physiology
cooking; food preparation
rationality
principle; theory; fundamental truth
ethics; morals
reasoning; inference; deduction
(Platonic) ideal (of how things ought to be, e.g. human rights); foundational principle; idea; conception (e.g. of the university); doctrine; ideology
forcibly; by force; against one's will
reason; reasoning power; (one's) sense
truth
the sciences; STEM (science, technology, engineering and mathematics)
duty; sense of duty; honor; honour; decency; courtesy; debt of gratitude; social obligation
theory; reason; logic
unreasonable; irrational; outrageous; absurd
proxy; agent; substitute; deputy; alternate; representative; attorney
geography
science (natural sciences and related fields, incl. mathematics, engineering, medicine, etc.)
accounting; administration (of money)
reason; logic; sense; truth; right
data processing; information processing
acceptance
(physical) science; natural science
trial
pathology
tax counsellor; tax counselor; licensed tax accountant
absurd; irrational; unreasonable; illogical
marble
physiology
natural laws; rule of heaven
science and engineering
laws (of nature)
superintendence; supervision; administration
faculty of science; school of science; college of science
faculty of science and engineering; college of science and engineering; school of science and engineering
haircut
reason
osechi; osechi-ryōri; traditional food eaten during the New Year's holidays
French food; French cooking; French cuisine
irrational; illogical; unreasonable; absurd; inconsistent
Chinese cooking; Chinese food
agency; agent
ethics; moral philosophy
ethical
Immigration Bureau; Immigration Office
rationalization; making (something) conform to reason; justification
rational; reasonable; logical
geographic information system; GIS
psychology
psychological; mental
mystery novel; detective novel; whodunit
cook; chef
restaurant
Japanese cooking; Japanese cuisine
physics
physical
ideal
administrator; janitor; manager; concierge; caretaker; superintendent; supervisor
manager; administrator; landlord; warden; superintendent; supervisor; custodian
management; managerial position; administrative post; person in a managerial position
prime minister (as the head of a cabinet government); premier
Prime Minister's office; PMO
taking care of something by oneself; self-management
logical