The following definitions come from TheFreeDictionary.com:
an·ar·chy (ăn′ər-kē) n. pl. an·ar·chies 1. Absence of any form of political authority. 2. Political disorder and confusion. 3. Absence of any cohesive principle, such as a common standard or purpose.
sol·i·dar·i·ty (sŏl′ĭ-dăr′ĭ-tē) n. Unity of purpose, interest, or sympathy: People gathered to show solidarity with the earthquake victims.
e·qual·i·ty (ĭ-kwŏl′ĭ-tē) n. pl. e·qual·i·ties 1. The state or quality of being equal. 2. Mathematics A statement, usually an equation, that one thing equals another.
jus·tice (jŭs′tĭs) n. 1. The quality of being just; fairness: In the interest of justice, we should treat everyone the same. 2. a. The principle of moral rightness; decency. b. Conformity to moral rightness in action or attitude; righteousness: argued for the justice of his cause. 3. a. The attainment of what is just, especially that which is fair, moral, right, merited, or in accordance with law: My client has not received justice in this hearing. b. Law The upholding of what is just, especially fair treatment and due reward in accordance with honor, standards, or law: We seek justice in this matter from the court. c. The administration, system, methods, or procedures of law: a conspiracy to obstruct justice; a miscarriage of justice. 4. Conformity to truth, fact, or sound reason: The overcharged customer was angry, and with justice. 5. Abbr. J. Law A judge on the highest court of a government, such as a judge on the US Supreme Court.