If quantum... a sonnet on quantum mechanics & computing and the mind If quantum “God does not play dice with the universe.” - Albert Einstein, The Born-Einstein Letters, 1916-55 ... or does He? If quantum is the boson of the mind, if D-Wave is the wave the future rides, if we are ready not to be purblind, if we can take in bounds prodigious strides, if God is in our molecules (or not), if we are God Himself... or He is we, with what is heaven’s promise fraught? ... or what’s unseen beyond we’ve yet to see? If we’ve overshot the rim of space and time, where were we likely sooner to arrive? ... and is the universe still as sublime as ever? ... or are we now in overdrive? If you are reading this and feel confused, Well, join the club. I also am bemused. Richard Vallance, January 18, 2017
The 3 derived (D) tenses of active optative of athematic verbs in Mycenaean Linear B, as represented by the template verb, didomi: Here is the chart of the 3 derived (D) tenses of active optative athematic verbs in Mycenaean Linear B, as represented by the template verb, didomi: Note that in the second example sentence in Mycenaean Greek, since the verb didomi is in the future active optative, the Mycenaean Linear B infinitive nikase = to defeat, must also be in the future. This is just another one of those remarkable eminently logical subtleties of ancient Greek, including Mycenaean. As you can see for yourself, I have been unable to reconstruct a paradigm table for the perfect active optative of athematic verbs in Mycenaean Linear B, as represented by the template verb, didomi. Since I have been unable to find any instances of that tense in any ancient Greek dialect, I am driven to conclude that it could not have existed in Mycenaean Linear B either. This is in contrast with the paradigm table for the active optative tenses of thematic verbs in Mycenaean Linear B, of which there are 4, as attested to here: Since in this previous post I outlined almost all of the uses of the active optative in ancient Greek, including Mycenaean Linear B, there is no point rehashing these uses here. Simply refer back to the post to glean as full a grasp the multiple uses of the active optative as you can, on the understanding of course that you are already familiar with least Attic grammar. If you are not versed in ancient Greek grammar, even if you are in modern Greek (in which there is no optative mood), there is really not much point to mastering all of the uses of the active optative in ancient Greek, except in so far as a basic understanding at least may offer you at least some insight into the more subtle and arcane operations of ancient Greek, of which there are plenty, as you might have already imagined by this point.
CRITICAL POST! The 4 major tenses of the derived (D) optative mood of thematic verbs in Mycenaean Linear B: Here is the paradigm of the 4 major tenses of the optative mood in Mycenaean Linear B, based on the derived (D) template verb, naie (ancient Greek, naiein) = to dwell in, inhabit: Note that we have provided two examples of derivative (D) sentences in this table of the paradigms for the 4 tenses of the optative mood in Mycenaean Linear B and ancient Greek in order to facilitate a better understanding of its functionality. As can be seen from the table above, there are only 4 primary tenses for the optative mood of thematic (and indeed for athematic) verbs in Mycenaean Linear B, as well as in ancient Greek. These are: the optative present the optative future the optative aorist (or simple past) the optative perfect There is no optative imperfect. It is a contradiction in terms. How is it possible that something was in fact happening, kept on happening or used to happen, when it is readily apparent that the optative mood always runs contrary to reality. The optative mood only and always refers to potentialities or possibilities, never to actual situations, which of course strictly call for the indicative mood. The optative mood has no equivalent whatsoever in any modern Centum or Occidental language, including modern Greek. It lapsed out of use before the advent of modern Greek. The optative mood sometimes plays a similar role to the subjunctive mood in ancient Greek, but by no means always. As a matter of course, we shall not be deriving a table of the tenses of the subjunctive mood in Mycenaean Linear B, for two conclusive reasons: 1. The subjunctive mood occurs nowhere on any Linear B tablets, i.e. it is not attested, or so it would seem so... because... 2. The subjunctive mood is virtually indistinguishable from the active in Mycenaean Linear B, whether or not we are dealing with thematic or athematic verbs, for the simple reason that Mycenaean Linear B cannot distinguish between short and long vowels. In other words, while ancient Greek allows for the subjunctive mood, which calls for the lengthening of the vowel in any person of the present tense, this is impossible in Mycenaean Linear B. So there would simply be no point in attempting to reconstruct a mood which could not even be observed on Mycenaean Linear B tablets, even it were present. But it never is to be found on any extant tablet, i.e. it is nowhere attested (A), because Mycenaean Linear B tablets almost exclusively deal with inventories, which are by nature factual, thereby automatically calling for the indicative, and precluding the subjunctive. It may seem counter-intuitive to find the optative on at least one Linear B tablet, but there is a tenable explanation for this phenomenon. Since the tablet in question deals with religious matters, it makes sense for the optative to be present. For instance, it is possible to say in Mycenaean Linear B, May we all worship the Goddess of the Winds. -or- If only they believed in the gods! These sentences make perfect sense in Mycenaean Greek. But this still leaves us with the burning question, what on earth is the optative mood? This is no easy question to answer. But I shall do my level best. To begin with, it is highly expedient to consult the Wikipedia article on the optative mood in ancient Greek: since doing so will expedite your understanding of the functions of the optative. Essentially, these are as follows: 1. to express a wish on behalf of the welfare of someone, e.g.: May you be happy. May you live long and be prosperous. 2. to express the wish or hope,... if only (which is contrary to reality, as it never happened anyway, no matter how much or how dearly one might have wished it had happened), e.g.: If only the Mycenaeans had not conquered Knossos. If only Donald Trump had not won the U.S. Election! (Fat chance of that!) 3. The potential optative expresses something that would or could happen in a hypothetical situation in the future, e.g. I wouldn’t be surprised if the fortress of Mycenae were to fall in the next few years. I wouldn’t be surprised if Donald Trump were impeached. (Good luck for that one!) 4. Potential in the aorist or the past tense, e.g. The king of Knossos fled the city for fear that he might be caught and imprisoned. 5. For purpose clauses in past time, the optative can follow the conjunction so that: The king has brought us all together so that we might discuss the situation regarding the possibility of an outbreak of war. 6. After verbs expressing fear: I was afraid that he had gone out of his mind. 7. for formal benedictions or prayers (primarily in the New Testament), e.g.: May the Grace of the Lord Jesus Christ be with you. May the Lord grant you mercy. There are even more uses of the optative, but I do not wish to belabour the point. Suffice it to say, this mood is extremely flexible in ancient Greek. It always references actions or situations contrary to reality. It is often quite difficult for us in this present day and age to really get a grip on the various functionalities of the optative tense in ancient Greek, but get a grip we must if we are ever to really, clearly grasp what ancient Greek sentences relying on the optative actually mean, once we have embarked on that most challenging of journeys, to learn ancient Greek, to easy matter, let me tell you from personal experience.
CRITICAL POST: The active middle voice template, akeomai = I repair or I make amends for... in the five major tenses in Mycenaean Linear B & ancient Greek: In all of the ancient East Greek dialects, right on down from Mycenaean Linear B to Arcado-Cypriot, its closest cousin (ca. 1100-400 BCE), through to Homeric Greek (ca. 800 BCE, a hodgepodge amalgam of various early ancient Greek dialects), to Ionic and Attic Greek (ca. 500-400 BCE), right on through to Hellenistic Greek (ca. 300-100 BCE) to New Testament Koine Greek (ca. 100 AD) and even to modern Greek, the active middle voice was extremely common, playing an indispensable role in the expression of verbal actions. In fact, it was probably even more common than the standard active voice, which we have already covered under the verb kauo = to burn. In Mycenaean Linear B and in all subsequent ancient Greek dialects, the template for active middle voice is here represented by the verb, akeomai = I repair -or- I make amends (for myself). The 5 major indicative active tenses represented are, once again: the present active middle voice the future active middle voice the imperfect active middle voice the aorist (or simple past) active middle voice the perfect active middle voice all conjugated in full in this table: What is the function of the active middle voice in Mycenaean Linear B & ancient (as well as modern) Greek? It is a very good thing to ask — in fact, it is crucial to the proper understanding of the critical difference between the standard active voice and the middle voice of verbs in Greek. The two voices are simply not the same. The standard active voice, as in the verb, kauo (present), kauso (future), ekauon (imperfect), ekausa (aorist or simple past) & kekausa (perfect) simply indicates something that someone does, will do, was doing, did or has done, with no further qualifications. The active middle voice is quite another kettle of fish. It is much more active (quite literally!) and much more dynamic. The active middle voice denotes any of the following activities: 1. Any action undertaken by the subject, in which the subject takes a powerful personal interest in whatever action he or she is undertaking; 2. Any action undertaken by the subject, in which the subject acts strictly on his or her own behalf, without any direct influence of or consideration of whatever anyone else may think or adjudge about said action; 3. Any action undertaken by the subject, in which the subject acts independently, of his or her own volition, regardless; 4. Any action undertaken by the subject, which is of a reflexive nature, ie. by means of which the subject does something for or to oneself. It goes without saying that an active present voice as so utterly complex as the active middle voice exists in no modern language, except for the fourth (4th.) application. The middle voice was of primal importance to the ancient Greeks because they were highly individualistic and egocentric (as opposed to being egoistic, which has nothing whatsoever to do with the active middle voice, except in rare instances). Reflexive verbs (4) are common in practically all modern languages. Thus, we have: in English: I wash myself, you wash yourself, we wash ourselves etc. et en français : je me lave, tu te laves, nous nous lavons – et ainsi de suite, to cite just two examples. On the other hand, the strict emphasis on personal responsibility for one’ s actions which is the preeminent characteristic of the active middle voice in Mycenaean Linear B and in ancient and modern Greek is nowhere to be found in modern Centum (Occidental) Indo-European languages such as English, French, Italian, Spanish, German etc. etc. In order to express the emphasis on direct personal responsibility innate to the active middle voice in ancient and modern Greek, modern languages have to resort to (sometimes cumbrous) circumlocutions. For instance, to express the first (1.) function of the active middle voice in ancient Greek, English has to resort to this circumlocution: I am taking a powerful personal interest in repairing... etc. And for the second (2.) function, this is what English has to resort to: I am acting strictly on my own behalf in repairing (regardless of what anyone else thinks of it) And for the third (3.) function: I am acting entirely on my own (or independently) to repair etc. Quite the circumlocutions in comparison with the active middle voice in ancient Greek, which is always so compactly and eloquently expressed by a single word, regardless of tense! Consequently, it is virtually impossible to grasp the several meanings (at least 4) inherent to the active middle voice in ancient Greek, unless one has a firm grasp on the 4 principal functions I have outlined here. I repeat, the distinction between the simple active voice and the active middle voice in both ancient and modern Greek is fundamental to a proper understanding of the divergent functioning of these two active tenses, the simple active and the active middle.
For the first time in history, the complete conjugations of 5 major derived (D) active indicative tenses of thematic verbs in Linear B progressive grammar: The tenses of active thematic verbs are: the present indicative active the future indicative active the imperfect indicative active the aorist indicative active the perfect indicative active Here is are the 2 tables (A & B) of the complete derived (D) conjugations of these 5 tenses of the active thematic verb kaue = the archaic ancient Greek kauein (Latinized), “to set on fire”: The ability of a linguist specializing in Mycenaean Linear B, i.e. myself, to cognitively restore no fewer than 5 active tenses of thematic verbs by means of progressive Mycenaean Greek derived (D) grammar boils down to one impressive feat. However, I have omitted the pluperfect indicative active, since it was rarely used in any and all of the numerous dialects of ancient Greek, right on down from Mycenaean to Arcado-Cypriot to Aeolic, Ionic and Attic Greek, and indeed right on through the Hellenistic and New Testament eras. So since the pluperfect tense is as rare as it is, why bother reconstructing it? At least, this is my rationale. Other researchers and linguists specializing in Mycenaean Linear B may disagree. That is their perfect right. Is Mycenaean Greek in Linear B a proto-Greek dialect? Absolutely not! There are still a few researchers and historical linguists specializing in Mycenaean Linear B who would have us believe that Mycenaean Greek is a proto-Greek dialect. Nothing could be further from the truth. The fact that so many fully developed grammatical forms are attested (A) on Linear B tablets confirms once and for all that Mycenaean Greek is the earliest intact East Greek dialect. Among the numerous grammatical forms attested (A) in Mycenaean Greek, we count:  verbs, including infinitives active and some passive for both thematic and athematic MI verbs; a sufficient number of verbs either in the active present or aorist tenses; a considerable number of participles, especially perfect passive; and even the optative case in the present tense,  nouns & adjectives, for which we find enough attested (A) examples of these declined in the nominative singular and plural, the genitive singular and plural and the dative/instrumental/ablative singular & plural. The accusative singular and plural appear to be largely absent from the Linear B tablets, but appearances can be deceiving, as I shall soon convincingly demonstrate. Also found on the extant Linear B tablets are the comparative and superlative of adjectives, and  almost all of the prepositions to be found in later ancient Greek dialects. Taken altogether, these extant attributed (A) grammatical elements form a foundation firm enough to recreate templates for all of the aforementioned elements in a comprehensive derived (D) progressive Mycenaean Linear B grammar. If you are still not convinced, I simply refer you to the previous post, where examples of many of these grammatical elements are accounted for. Moreover, once I have completely recompiled ancient Mycenaean Greek grammar, you should be convinced beyond a shadow of a doubt that Mycenaean Greek was the very first true ancient Greek dialect. What is progressive derived (D) Mycenaean Linear B grammar? By progressive I mean nothing less than as full a restoration as possible of the corpus of ancient Mycenaean Greek grammar by means of the procedure of regressive extrapolation of the (exact) equivalents of any and all grammatical elements I shall have reconstructed from the two major sources of slightly later archaic Greek, namely: (a) the Arcado-Cypriot dialect, in which documents were composed in the Linear C syllabary, a direct offshoot of Mycenaean Linear B (Even though the two syllabaries look scarcely alike, the symbolic values of their syllabograms are in almost all instances practically identical), and from so-called Epic Greek, which was comprised of diverse elements haphazardly drawn from various archaic Greek dialects, in other words yielding nothing less than a mess, but a viable one nonetheless. At this juncture, I must emphatically stress that, contrary to common opinion among ancient Greek literary scholars not familiar with either Mycenaean Linear B or Arcado-Cypriot Linear C, the gap between the scribal Linear B tablets and the next appearance of written ancient Greek is not around 400 years (1200-800 BCE), as they would have it, but only one century. Why so? Hard on the heels of the collapse of the Mycenaean Empire and of its official script, Linear B, ca. 1200 BCE, Arcado-Cypriot Linear C first appeared in writing a mere 100 years after, give or take. The revised timeline for the disappearance and reappearance of written Greek is illustrated here: If this is not convincing enough, Mycenaean Greek’s intimate cousin, Arcado-Cypriot, of which the syllabary is Linear C, is even more closely related to Mycenaean Greek than Ionic is to Attic Greek. In fact, you could say that they are kissing cousins. Now it stands to reason that, if Arcado-Cypriot in Linear C is a fully developed East Greek dialect, as it most certainly is (subsisting at least 700 years, from 1100 – 400 BCE), then it follows as day does night that Mycenaean Linear B must also be a fully functional East Greek dialect (in fact, the first). The two factors addressed above should lay to rest once and for all that Mycenaean Greek is merely proto-Greek. That is sheer nonsense.
CRITICAL POST! Progressive Linear B grammar: active thematic aorist infinitives in Mycenaean Linear B: Phase 3 With the addition of this table of active thematic aorist infinitives: we have completed the first 3 stages in the reconstruction of the grammar of natural Mycenaean Greek as it was spoken between ca. 1600 (or earlier) and 1200 BCE. These stages are: 1. the present infinitive 2. the future infinitive & 3. the aorist infinitive. Although there were other infinitives in ancient Greek, they were rarely used, and so we are omitting them from our progressive grammar. While it is a piece of cake to physically form the aorist infinitive either in ancient alphabetic Greek or in Mycenaean Linear B, the same cannot be said for the innate meaning of the aorist infinitive. What does it signify? Why would anyone even bother with a past infinitive when a present one does just fine? What are the distinctions between the present, future and aorist infinitives in ancient Greek and in Mycenaean Linear B? ANALYSIS & SYNOPSIS: What is the meaning of the aorist infinitive or, put another way, what does it signify? While the use of the present infinitive corresponds exactly with infinitives in almost all other Occidental languages, ancient and modern, the same cannot be said of the future and aorist infinitives in ancient Greek and Mycenaean, for which there are, in so far as I know, no equivalents in modern Centum languages. The impact of understanding the future infinitive on grasping the aorist in ancient Greek. First, the future infinitive. We feel obliged to review its function in order to prepare you for the even more esoteric aorist infinitive. The future infinitive is used when the sentence is in either the present or the future. How can it be used with a verb in the present tense? The reason is relatively straightforward to grasp. If the speaker or writer wishes to convey that he or she expects or intends the infinitive modifying the principle verb to take effect immediately, then the infinitive too must be in the present tense. But if the same author expects or intends the action the infinitive conveys to take place in the (near) future, then the infinitive must be future, even though the main verb is in the present tense. The distinction is subtle but critical to the proper meaning or intent of any Greek sentence employing a future infinitive with a verb in the present tense. The best way to illustrate this striking feature of ancient Greek is with English language parallels, as we did in the post on future infinitives. But to make matters as clear as possible, we repeat, here in the present tense, the 2 sentences I previously posted in Latinized Linear B along with the English translation. First we have, Konoso wanaka eqetai qe katakause etoimi eesi. The King and his military guard are prepared to set about burning Knossos to the ground. Compare this with: Konoso wanaka eqetai qe katakaue etoimi eesi. The King and his military guard are prepared to burn Knossos to the ground. In the first instance, the subjects (King and military guard) are prepared to raze Knossos in the near future, but not right away. This why I have translated the infinitive katakause as – to set about burning Knossos to the ground. But in the second case, the King and his military guard are prepared to burn Knossos to the ground immediately. The future does not even enter into the equation. In the second example, we have: Wanaka tekotono wanakatero peraise poroesetai. The King is allowing the carpenters to soon set about finishing the palace. (future infinitive)... versus Wanaka tekotono wanakatero peraie poroesetai. (present infinitive)... The King allows the carpenters to finish the palace. (i.e. right away). The distinction is subtle. But if you are to understand ancient Greek infinitives, including Mycenaean, you must be able to make this distinction. The question is, why have I resorted to repeating the synopsis of the future infinitive, when clearly the subject of our present discussion is the aorist or past infinitive? The answer is... because if you cannot understand how the future infinitive works in ancient Greek and Mycenaean, then you will never grasp how the aorist infinitive functions. What is the aorist infinitive and how does it function? The aorist infinitive describes or delineates actions or states dependent on the main verb which have already occurred in the (recent) past. It can be used with principal verbs in the present or past (aorist or imperfect), but never with those in the future. Once again, the distinction between the present and aorist active thematic infinitives is, if anything, even subtler than is that between the future and present infinitives. Allow me to illustrate with two examples in Latinized Linear B. First: Wanaka poremio taneusai edunato. The King was in a position to have put an end to the war (clearly implying he did not put an end to it). Note that the main verb, edunato = was able to, is itself in the past imperfect tense. But this sentence can also be cast in the present tense, thus: Wanaka poremio taneusai dunetai. The King is in a position to have put an end to the war. In this case, the use of the aorist infinitive is not mandatory. But if it is used, it still signifies that the aorist infinitive operates in the past, and it is quite clear from the context that he could have ended the war, but never did. Compare this with the use of the present infinitive in the same sentence. Wanaka poremio taneue dunetai. The King is able to put an end to the war (immediately!) To complicate matters even further, even if the main verb is in the simple past (aorist) or the imperfect (also a past tense), you can still use the present infinitive, as in: Wanaka poremio taneue edunato. The King was able to put an end to the war (right away). This clearly calls for the present infinitive, which always takes effect at the very same time as the primary verb. Although the analysis and synopsis above makes perfect sense to students and researchers familiar with ancient Greek, it is difficult for newcomers to ancient Greek to grasp the first time they are confronted with it. But patience is the key here. By dint of a large number of examples, it will eventually sink in. So as the old saying goes, do not panic!
Progressive Mycenaean Linear B derived (D) grammar, Phase 2: the future infinitive
In the table below you will find the future infinitive form of thematic (so-called regular) verbs in ancient Greek along with their counterparts in derived (D) Mycenaean Greek. The Mycenaean Greek is said to be derived (D), since there are no attested (A) forms of future infinitives on any extant Linear B tablets. However, the future infinitive is so easily formed from the present that it is certain that the Mycenaean forms I have provided below are correct:
Here, the future infinitive is provided only for verbs of which the stem of the present infinitive terminates with a vowel. Thus, damauein => damausein, eisoraiein => eisoraisein etc., and the shift from the Mycenaean Linear B present infinitive to the future is identical, thus:
damaue => damause, eisoraie => eisoraise etc.
It is imperative that you read the three notes at the end of the table above; otherwise, you will not understand why ancient Greek resorted to future infinitives when it was strictly called for. Since ancient Greek is the mother of all modern Centum (Occidental) languages, it contains every possible variant in conjugations and declensions to be found in the latter, except that modern Occidental languages never contain all of the elements of ancient Greek grammar. The lack of a future infinitive in modern Centum languages (at least as far as I know) bears testimony to the fact that ancient Greek contains more grammatical elements than any modern language. Each modern language borrows some, but never all, grammatical elements from ancient Greek. The upshot is that ancient Greek grammar is significantly more complex than ancient Latin and all modern Occidental languages. This will become painfully obvious as we progress through each grammatical element, one after another in ancient Greek, including Mycenaean. For instance, the next grammatical form we shall be addressing is the aorist or simple past infinitive, another one which does not appear in any modern Western language.