Zen Mind in Chinese / Japanese...

禪心 represents an image of your meditation coming from and filling your heart.

The meaning of the first character is “meditation” and the second character is usually defined as “heart” or sometimes “mind.”

There is a two-fold meaning here, as a good meditation session must start with a centered heart or mind. Yet at the same time, meditation serves to cleanse, focus, and center the heart and mind.

心印 is a Buddhist concept that simply stated is “appreciation of truth by meditation.”

It's a deep subject, but my understanding is that you can find truth through meditation, and once you've found the truth, you can learn to appreciate it more through further meditation. This title is not commonly used outside of the Buddhist community (your Asian friends may or may not understand it). The literal translation would be something like “the mind seal,” I've seen this term translated this way from Japanese Buddhist poetry. But apparently, the seal that is stamped deep in your mind is the truth. You just have to meditate to find it.

Soothill defines it this way: Mental impression, intuitive certainty; the mind is the Buddha-mind in all, which can seal or assure the truth; the term indicates the intuitive method of the Chan (Zen) school, which was independent of the spoken or written word.

Reference: Soothill-Hodous Dictionary of Chinese Buddhism

See Also:  Zen

安心 can be defined as relief, peace of mind, feeling at ease, to be relieved, to set one's mind at rest, and easiness.

安心 is a nice word that encompasses great meanings within just two characters. Some of the other meanings include pacifying, settling the mind, and peace of mind. It's also the idea of feeling a sense of security, safety, and confidence in your state of well-being.

This can be used by everyone, but some consider it to be a Buddhist concept (You'll find it in your Zen dictionary).

Note: Can be romanized as Anshin or Anjin in Japanese.

禪宗 is one way to title “Zen Buddhism.” Because the original pronunciation of Zen in Chinese is Chan, you'll also see this expressed as Chan Buddhism.

From the Buddhist Dictionary:
The Chan, meditative or intuitional, sect is usually said to have been established in China by Bodhidharma, the twenty-eighth patriarch, who brought the tradition of the Buddha-mind from India. This sect, believing in direct enlightenment, disregarded ritual and sūtras and depended upon the inner light and personal influence for the propagation of its tenets, founding itself on the esoteric tradition supposed to have been imparted to Kāśyapa by the Buddha, who indicated his meaning by plucking a flower without further explanation. Kāśyapa smiled in apprehension and is supposed to have passed on this mystic method to the patriarchs. The successor of Bodhidharma was 慧可 Huike, and he was succeeded by 僧璨 Sengcan, 道信 Daoxin, 弘忍 Hongren, 慧能 Huineng, and 神秀 Shenxiu, the sect dividing under the two latter into the southern and northern schools: the southern school became prominent, producing 南嶽 Nanyue and 靑原 Qingyuan, the former succeeded by 馬祖 Mazu, the latter by 石頭 Shitou. From Mazu's school arose the five later schools.

拳禪一如 is a Japanese phrase that is often translated as “train both body and spirit.”

Here's the breakdown of the words in this phrase:
拳 means fist.
禅 is zen, which means meditation.
一如 is a word that means “to be just like,” “oneness,” “true nature,” or “true character.”

So to get to the translation of “train both body and spirit,” you must understand that “fist” is representing “body” and the idea of meditation is representing “mind.”

I have to say, this is not how I would translate this. To me, it's really about training with your mind and remembering that meditation is a huge part of training, not just your fist. As the Shaolin Buddhist monks show us, meditation is just as important as physical training in martial arts.

In Zen Buddhism, 本心 means “original mind” or “original heart,” which refers to one's Buddha-nature present from birth.

This can also be translated as true feelings, real intention, one's own heart, one's right mind, one's senses, one's conscience, or fundamental mind.

Note: 心 can mean heart or mind - thought in ancient Asia to be the same organ.

In Japanese, 無心 means innocent or without knowledge of good and evil. It literally means “without mind.”

無心 is one of the five spirits of the warrior (budo) and is often used as a Japanese martial arts tenet. Under that context, places such as the Budo Dojo define it this way: “No mind, a mind without ego. A mind like a mirror which reflects and dos not judge.” The original term was “mushin no shin,” meaning “mind of no mind.” It is a state of mind without fear, anger, or anxiety. Mushin is often described by the phrase “Mizu no Kokoro,” which means “mind like water.” The phrase is a metaphor describing the pond that clearly reflects its surroundings when calm but whose images are obscured once a pebble is dropped into its waters.

This has a good meaning in conjunction with Chan / Zen Buddhism in Japan. However, out of that context, it means mindlessness or absent-mindedness. To non-Buddhists in China, this is associated with doing something without thinking.
In Korean, this usually means indifference.

Use caution and know your audience before ordering this selection.

More info: Wikipedia: Mushin

月の心 means “Mind like the Moon” or, more directly translated, “Moon of Mind.”

月の心 is a phrase used in Zen Buddhism and some Japanese martial arts.

參悟 is a Chan / Zen Buddhism concept that means “to understand (mystery) from meditation” or “to see truth flash through the mind.”

參悟 is a pretty deep idea; therefore, your study and contemplation may be required before fully appreciating it.

悕望の心 is “Kemō no Shin,” a Japanese Zen Buddhist word that means “The seeking mind” or “[Having] The mind to seek something.”

The first two characters mean longing for. The last two mean “of mind” or “of heart.” So, this is a mind that longs for or seeks knowledge, etc.

無事 is a Zen Buddhist term meaning no problem and no trouble.

無事 is the Zen state of perfect freedom from troubles and leaving secular affairs behind.

Sometimes this is used to describe the state of satori and complete tranquility of mind.

Written as 無事に with an extra Hiragana at the end, this becomes an adverb to describe something in the condition of safety, peace, quietness, and without troubles.

無事 (Buji) can also be a given name in Japan.

This has more meaning in the Japanese Zen Buddhist community than in China or Korea, where it can mean “be free” or “nothing to do or worry about.”

知足 means content with one's situation or to know contentment (hence happiness).

From the Zen Buddhist context, Chisoku or 知足 (knowing what’s enough) means always to know and be satisfied with one’s lot.

Human pain and suffering are born of greed, and that greed arises because we do not know what’s enough.

The Chinese philosopher, Menzi (372-289 BCE) said, “to nourish the mind, there is nothing better than to make the desires few.” This relays the idea that the best method to cultivate the mind is to have little desire.

見性成佛 is a universal phrase that suggests that one may see one's nature and accomplish Buddhahood.

見性 suggests penetrating deep inside oneself to see one's “Original finally Mind.”

成佛 refers to a sentient being who dispenses with illusions and delusions through ascetic practice, is enlightened to the truth, and becomes a Buddha.

This is used by Mahayana, Chan, and Zen Buddhists in China, Korea, and Japan.

You will also see this with the last character written as 仏 in Japanese. In the religious context, 佛 is commonly used to mean Buddha. If you want the other version, see Kenshō Jōbutsu 見性成仏

These Japanese Kanji, 安心立命, can be translated as “religious enlightenment” or “spiritual peace gained through faith.”

Other dictionaries define as “spiritual peace and enlightenment” or “keeping an unperturbed mind through faith.”

My Buddhist dictionary defines it as “spiritual peace and realization of enlightenment.”

In the Zen school, this is about settling one's body and life; attaining complete peace, and establishing one's course of life in accord with the ultimate reality.

Hishiryō (非思量) literally means not-thinking.

Hishiryo can be described as a state of mind beyond thinking and non-thinking during the practice of Zazen.

Shiryō (思量) means “thinking,” and hi (非) is a prefix for negation and opposition.

Therefore, hishiryo amounts to “unthink” or “not the matter of thinking.” The word hishiryo appears in Dogen Zenji’s Fukanzazengi, Shobogenzo Zazengi, Shobogenzo Zazenshin, and Keizan Zenji’s Zazen Yojinki. It is one of the most important words used to describe zazen. Hishiryo in these writings comes from a dialogue between Yakusan Igen (745-828) and an unnamed monk, which is described in Keitoku, Dentoroku, and other Zen texts.

The above is an abridged except from School of Shodo: Hishiryo
I suggest you visit that page for a full explanation.